 # Which word is associated with multiplication when computing probabilities?

Category: Which

Author: Jeanette Woods

Published: 2021-06-19

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## Which word is associated with multiplication when computing probabilities?

There are many words that can be associated with multiplication when computing probabilities. The most common one is probably "times." This is the word that is used most often when representing multiplication in mathematical equations. For example, if you wanted to compute the probability of drawing two aces from a deck of cards, you would multiply the probability of drawing one ace by the probability of drawing another ace. This would be represented as P(A) x P(B), where "A" represents the event of drawing an ace and "B" represents the event of drawing another ace.

In addition to "times," other words that can be associated with multiplication when computing probabilities include "and," "of," "given," and "multiply." These words all indicate that the probability of an event occurring is being multiplied by the probability of another event occurring. For example, if you wanted to compute the probability of drawing two aces from a deck of cards, you could also use the word "and" in place of "times." This would be represented as P(A and B), where "A" represents the event of drawing an ace and "B" represents the event of drawing another ace.

Similarly, the word "of" can be used to indicate that the probability of an event is being multiplied by the number of events that could occur. For example, if you wanted to compute the probability of drawing two aces from a deck of cards, you could use the word "of" in place of "times." This would be represented as P(A of B), where "A" represents the event of drawing an ace and "B" represents the number of aces in the deck.

Lastly, the word "given" can be used to indicate that the probability of an event is being multiplied by the probability of another event occurring given that the first event has occurred. For example, if you wanted to compute the probability of drawing two aces from a deck of cards, you could use the word "given" in place of "times." This would be represented as P(A given B), where "A" represents the event of drawing an ace and "B" represents the event of drawing another ace given that the first ace has been drawn.

## What is the probability of getting a certain number when multiplying two dice?

When two dice are rolled, there are a total of 36 possible outcomes. The probability of any given outcome is therefore 1/36.

If we are interested in the probability of getting a certain number when multiplying two dice, we need to consider all the possible ways that this number can be obtained. For example, if we want to know the probability of obtaining the number 6, we need to consider all the combinations of two dice that will give us 6 when they are multiplied together.

There are a total of six ways that this can happen: 1 & 6, 2 & 3, 3 & 2, 4 & 1, 5 & 0, and 6 & 0. Therefore, the probability of obtaining the number 6 when multiplying two dice is 6/36, or 1/6.

Similarly, we can calculate the probability of obtaining any other number when multiplying two dice. The probabilities for all the possible outcomes are listed below:

Number Probability

2 1/36

3 2/36

4 3/36

5 4/36

6 5/36

7 6/36

8 5/36

9 4/36

10 3/36

11 2/36

12 1/36

## What is the probability of getting a certain number when multiplying three dice?

Multiplying three dice is equivalent to rolling the dice three times and taking the product of the numbers shown. For example, if you roll a six, a five, and a four, then the product is six times five times four, or 120. The probability of rolling a certain number is then just the number of ways that you can roll that number divided by the total number of possible outcomes. There are six possible outcomes for each die, so the total number of possible outcomes is 6^3, or 216. To calculate the probability of rolling a certain number, we just need to count the number of ways that number can be rolled. For example, let's say we want to calculate the probability of rolling a 12. We can do this by breaking down the possible ways to roll a 12 into cases. There are three ways to roll a 12 using two dice: 1 and 11, 2 and 10, 3 and 9. There are two ways to roll a 12 using three dice: 1, 2, and 9; 1, 3, and 8. So, the probability of rolling a 12 is 5/216. In general, the probability of rolling a certain number n is just the number of ways to roll n divided by the total number of possible outcomes. There are a few things to note about this probability. First, it is only defined for integers. That is, you can only multiply three dice to get an integer result. Second, the probability is always a number between 0 and 1. This makes sense, since there are a finite number of possible outcomes, so the probability can never be greater than 1. Finally, the probability of rolling a certain number is not affected by the order of the dice. For example, the probability of rolling a 12 is the same as the probability of rolling a 9, since there are the same number of ways to roll each number. Now that we know how to calculate the probability of rolling a certain number, we can use this to answer other questions about multiplying three dice. For example, what is the probability of rolling a number greater than 10? To calculate this, we can just sum the probabilities of all the numbers greater than 10. There are 11 numbers greater than 10 (11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21), so the probability of rolling a number greater than ## What is the probability of getting a certain number when multiplying four dice?

There are a lot of possible ways to calculate the probability of getting a certain number when multiplying four dice. The most straightforward way to calculate this probability is to use the multiplication rule for independent events. This rule states that the probability of two events both happening is the product of the probability of each event happening independently. In other words, the probability of getting a certain number when multiplying four dice is the product of the probability of each die showing that number.

For example, if we want to calculate the probability of getting a 16 when multiplying four dice, we would first need to calculate the probability of each die showing a 4. The probability of any given die showing a 4 is 1/6 since there are six possible outcomes for each die (1, 2, 3, 4, 5, 6) and only one of those outcomes is a 4. So, the probability of getting a 16 when multiplying four dice is 1/6 x 1/6 x 1/6 x 1/6, or 1/1296.

We can use this same method to calculate the probability of getting any number when multiplying four dice. For example, the probability of getting a 12 is 1/6 x 1/6 x 1/6 x 1/6, or 1/1296. The probability of getting a 24 is 1/6 x 1/6 x 1/6 x 1/6, or 1/1296. So, the probability of getting a 12 or a 24 when multiplying four dice is 2/1296, or 1/648.

We can also use the multiplication rule to calculate the probability of getting a certain number when multiplying four dice. For example, the probability of getting a 4 is 1/6 x 1/6 x 1/6 x 1/6, or 1/1296. The probability of getting a 8 is 1/6 x 1/6 x 1/6 x 1/6, or 1/1296. So, the probability of getting a 4 or an 8 when multiplying four dice is 2/1296, or 1/648.

We can also use the multiplication rule to calculate the probability of getting a certain number when multiplying four dice. For example, the probability of getting a 10 is 1/6 x 1/6 x 1/6 x 1/6, or 1/1296. The probability of getting a 14 is 1/6 x 1/6 x 1/6

## What is the probability of getting a certain number when multiplying five dice?

In order to calculate the probability of getting a certain number when multiplying five dice, we must first understand what probability is. Probability is a measure of how likely it is that an event will occur. We can calculate probability using the following formula:

Probability = Number of favourable outcomes / Total number of outcomes

For our example, the number of favourable outcomes would be the number of ways that we can get the certain number we are looking for when multiplying five dice. The total number of outcomes would be the total number of possible outcomes when multiplying five dice, which is 6^5 (6 to the power of 5).

Let's say we are looking for the probability of getting the number 10 when multiplying five dice. The number of ways we can get 10 when multiplying five dice is 1 (1x1x1x1x1). The total number of possible outcomes when multiplying five dice is 6^5, so the probability of getting 10 when multiplying five dice is 1/6^5.

We can also use the same method to calculate the probability of getting other numbers when multiplying five dice. For example, the probability of getting the number 12 is 2/6^5 (2 ways to get 12: 2x1x1x1x1 and 1x2x1x1x1), and the probability of getting the number 15 is 1/6^5 (1 way to get 15: 1x1x1x1x3).

As you can see, the probability of getting a certain number when multiplying five dice decreases as the number increases. This is because there are more ways to get lower numbers than higher numbers when multiplying five dice. For example, there are 6 ways to get the number 3 (1x1x1, 1x1x2, 1x2x1, 2x1x1, 2x2, 1x3), but there is only 1 way to get the number 12 (2x1x1x1x1).

To sum up, the probability of getting a certain number when multiplying five dice is calculated by taking the number of ways we can get that number and dividing it by the total number of possible outcomes when multiplying five dice, which is 6^5.

## What is the probability of getting a certain number when multiplying six dice?

Probability is the study of chances and is a branch of mathematics. It deals with the likelihood of something happening. In other words, probability is the measure of how likely an event is to occur. When we talk about the probability of an event occurring, we usually give it as a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain to happen.

When we roll six dice, the probability of getting a certain number is different for each number. For example, the probability of getting a 1 is 1/6, because there is only one way to get a 1 (by rolling a 1 on one of the dice). The probability of getting a 2 is 2/6, because there are two ways to get a 2 (by rolling a 1 on two of the dice).

In general, the probability of getting a number k, when we roll six dice, is:

P(k) = 1/6^k

where k is the number we want to get.

For example, if we want to know the probability of getting exactly three 1s, we can use the above formula:

P(3) = 1/6^3 = 1/216 = 0.0046296296…

This means that the probability of getting exactly three 1s is about 0.46%.

## What is the probability of getting a certain number when multiplying seven dice?

When considering the probability of any event, we must first understand what is meant by the term "probability." In the most basic sense, probability is the likelihood that something will happen. In the context of dice, this means the likelihood that a certain number will be rolled when seven dice are multiplied.

There are a number of ways to calculate probability, but the most common is to use the formula:

P(A) = n(A) / n(T)

Where:

P(A) is the probability of event A occurring

n(A) is the number of ways event A can occur

n(T) is the total number of possible outcomes

In the case of seven dice, there are a total of 6^7 (6 to the 7th power) possible outcomes. This is because each die can have a different value, from 1 to 6. When we multiply the dice together, we are simply taking all of those possible values and multiplying them by each other.

Now that we have the total number of possible outcomes, we can calculate the probability of getting a certain number when we multiply seven dice.

For example, let's say we want to calculate the probability of getting a 7. We know that there is only one way to get a 7 when we multiply seven dice (1x2x3x4x5x6x7), so our numerator in the above formula would be 1.

Our denominator is the total number of possible outcomes, which we already know to be 6^7.

Plugging those values into the formula, we get:

P(7) = 1 / 6^7

Which simplified, is equal to:

P(7) = 1 / 278,720

This means that the probability of getting a 7 when multiplying seven dice is 1 in 278,720.

Of course, this is just one example. You could calculate the probability of getting any number from 2 to 12 when multiplying seven dice. The probabilities would be as follows:

2: 1/12,960

3: 1/4,320

4: 1/1,728

5: 1/864

6: 1/432

7: 1/278,720

8: 1/60,480

9: 1/15,120

10: 1/3,

## What is the probability of getting a certain number when multiplying eight dice?

There are a lot of variables to consider when trying to figure out the probability of getting a certain number when multiplying eight dice. For example, what is the number of the dice? What are the faces of the dice? And so on.

In general, the probability of getting a certain number when multiplying dice is going to be the number of ways to get that number divided by the total number of possible outcomes. So, for example, if you want to know the probability of getting a 12 when multiplying eight dice, you would need to figure out how many ways there are to get a 12 when multiplying eight dice, and then divide that by the total number of possible outcomes, which is 6^8 (6 to the 8th power, or 6x6x6x6x6x6x6x6).

As you can see, the number of possible outcomes is quite large, and so is the number of ways to get a 12 when multiplying eight dice. In fact, there are nearly 13 million ways to get a 12 when multiplying eight dice! So, the probability of getting a 12 when multiplying eight dice is about 1 in a million.

Of course, not all numbers are equally likely when multiplying eight dice. Some numbers are much more likely than others. For example, the number 8 is much more likely than the number 12, because there are more ways to get an 8 when multiplying eight dice than there are to get a 12.

In general, the probability of getting a certain number when multiplying eight dice is going to be the number of ways to get that number divided by the total number of possible outcomes. So, for example, if you want to know the probability of getting a 12 when multiplying eight dice, you would need to figure out how many ways there are to get a 12 when multiplying eight dice, and then divide that by the total number of possible outcomes, which is 6^8 (6 to the 8th power, or 6x6x6x6x6x6x6x6).

As you can see, the number of possible outcomes is quite large, and so is the number of ways to get a 12 when multiplying eight dice. In fact, there are nearly 13 million ways to get a 12 when multiplying eight dice! So, the probability of getting a 12 when multiplying eight dice is about 1 in a million.

Of course, not all numbers are equally likely

## What is the probability of getting a certain number when multiplying nine dice?

When multiplying nine dice, the probability of getting a certain number is high. The number of possibilities is high, so the chance of any given number coming up is also high. However, the probability of getting a certain number is not 100%, because there is always the chance that another number will come up instead.

There are many different ways to calculate probability, but one way to think about it is to imagine all of the possible outcomes. In this case, there are 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6, or 7,290,322,638,096, possible outcomes. That means that the probability of any given number coming up is 1 in 7.29 billion.

Obviously, the probability of getting a certain number is not 100%, but it is still quite high. The more dice that are multiplied, the higher the probability becomes. For example, if 10 dice are multiplied, the probability of getting a certain number is 1 in 46,656,158,683,608,000, or about 1 in 46.7 trillion.

It is important to note that probability is not the same as odds. Odds are a way of expressing the probability of something happening in terms of the number of ways it could happen compared to the number of ways it couldn't happen. For example, the odds of flipping a coin and getting heads is 1 to 1, because there is 1 way to get heads and 1 way to not get heads. The odds of flipping a coin and getting tails is also 1 to 1.

The odds of getting a certain number when multiplying nine dice is 7,290,322,638,096 to 1. This means that, for every 1 time that the number comes up, there are 7.29 billion times that it doesn't come up.

Some people might say that the probability of something happening is the same as the odds of it happening, but this is not necessarily true. Probability is a mathematical concept, while odds are a way of expressing probability in terms of ratios. They are not the same thing, but they are closely related.

The probability of something happening can be thought of as the likelihood of it happening. The odds of something happening can be thought of as the ratio of the number of ways it could happen compared to the number of ways it couldn't happen.

## What is the probability of getting a certain number when multiplying ten dice?

There are a lot of ways to think about this question. One way to think about it is to think about the possible outcomes of rolling ten dice. For example, if you roll ten dice and all of them come up as sixes, then the probability of getting a certain number is very low. However, if you roll ten dice and nine of them come up as sixes and one of them comes up as a five, then the probability of getting a certain number is much higher.

Another way to think about this question is to think about the probability of getting a certain number if you roll one die. If you roll one die, the probability of getting a six is one in six. If you roll ten dice, the probability of getting a six on one of them is one in six. The probability of getting a six on two of them is one in 36. The probability of getting a six on three of them is one in 216. And so on.

So, the probability of getting a certain number when multiplying ten dice depends on what number you are talking about. If you are talking about getting a six, the probability is very low. However, if you are talking about getting a five, the probability is much higher.

## Related Questions

### What is the probability of getting the same number on dice?

The probability of getting the same number on dice is 1 36.

### What is the probability of both dice landing on X?

The probability of both dice landing on X is 1/6.

### What is the probability of Rolling 3 numbers with 3 dice?

The probability of rolling 3 numbers with 3 dice is 1/9.

### What is the probability of rolling the same dice twice?

The probability of rolling the same dice twice is 1/6.

### How many dice are thrown at the same time?

(ii) Two dice are thrown at the same time and find the probability of getting: (A) Same number on both dice ⇒ 0.5 (B) Different number on the both dice ⇒ 2.5

### What is the probability of two dice being thrown simultaneously?

There is a 1 in 6 (16.7%) chance of two dice being thrown simultaneously and coming up with the number 1, 2, 3, 4, 5 and 6.

### What is the probability of rolling a 15 on a dice?

The probability of rolling a 15 on a dice is 1.25·10⁻⁴ in scientific notation.

### What are the possible outcomes of rolling two dice?

There are six possible outcomes: 1, 2, 3, 4, 5, 6.

### How many dices of equivalent outcomes?

There are six possibilities, so there are three dices of equivalent outcomes." However, because we want to exclude re-counting equivalent outcomes, we need to consider how many different combinations of dice that result in one, two, or three dices landing on 1, 2, 3. So the answer is 2.

### How many dices are there in 6 possibilities?

There are 3 dices.

### What is the probability of rolling a dice?

The probability of rolling a dice is 1/6.

### What is the probability of getting 3 from rolling a die?

The probability of getting 3 from rolling a die is 1/6 or 0.167.

### What is the sum of the outcomes of Rolling 3 dice?

The sum of the outcomes of Rolling 3 dice is 216

### How do you calculate the probability of rolling a dice?

The probability of rolling a given sum by throwing any number of dice can be calculated using the general formula provided by Uspensky 1937  as follows: where, p is the probability of rolling the given sum by throwing n dice with a given number of sides or faces s, n is the total number of dice thrown, x is an arbitrary real number.