# What is the probability that the dice show the same numbers?

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If two dice are thrown, what is the probability that both dice show the same number? There are 36 equally likely outcomes, 6 of these outcomes will show the same outcome. Showing the same outcome is known as doubles; (1,1) (2,2) (3,3) (4,4) (5,5) (6,6). This is 6/36 which reduces to 1/6 or approximately 16.67%.

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

8 Answers. The probability of rolling a specific number twice in a row is indeed 1/36, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).

## What is the probability of rolling two even numbers?

Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.

## What is the probability of rolling a sum of 4?

Probabilities for the two dice

Total Number of combinations Probability
2 1 2.78%
3 2 5.56%
4 3 8.33%
5 4 11.11%

## What is the probability of rolling a sum of 3?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of 3: 1/216 = 0.5% Probability of a sum of 4: 3/216 = 1.4%

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## What is the probability that all three rolls are 2?

4 Answers. It’s just (16)2 It’s the probability that the second roll is the same as the first (1/6) multiplied by the probability that the third roll is the same as the second (1/6).

## What is the probability of rolling an even number from a fair die?

The probability of rolling an even number on a fair, six-sided die is 3/6 = 1/2, which results from three of the six possibilities of {1, 2, 3, 4, 5, 6} being even numbers.

## What is the probability of getting a prime number when a die is rolled?

We find this number by multiplying 6 x 6. The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12 (E).

## What is the formula of probability distribution?

The probability distribution for a discrete random variable X can be represented by a formula, a table, or a graph, which provides p(x) = P(X=x) for all x. The probability distribution for a discrete random variable assigns nonzero probabilities to only a countable number of distinct x values. 