# What is the probability that there are exactly two dice results that appear exactly 3 times each?

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Thus, the probability is 3410401679616≈20.3%.

## What is the probability of rolling a die 3 times?

shyind wrote: If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled? The number of ways to select one 3 out of three rolls is YNN (or NYN or NNY) = 3!/2! = 3 ways. So, the total probability is 3 x 25/216 = 75/216 = 25/72.

## What is the probability of rolling a 3 with 2 dice?

Two (6-sided) dice roll probability table

Roll a… Probability
2 1/36 (2.778%)
3 2/36 (5.556%)
4 3/36 (8.333%)
5 4/36 (11.111%)

## What is the probability of rolling the same number on 3 dice?

The probability of getting the same number is 1/6. Throw the third die. The probability of getting the same number is again 1/6. So the probability of three numbers the same is 1/6×1/6.

## What is the probability that exactly 3 sixes will be recorded when 5 fair dice are tossed?

1 ≤ j ≤ (N+1) where N, in this case = number of die rolls = 5 and j-1 = number of 6′s, which in this case = 3. Since (a +b) =1, The binomial distribution expression sums to 1. Probability of 3 6’s after 5 fair die rolls = (5!) [(5/6)^(2)][1/6)^(3)]/(3!)(

## What is the probability of getting exactly 2 even numbers when a balanced die is rolled 3 times?

Now, out of 3 rolls, two ‘even number throwing rolls’ can be selected in (3C2) = 3 ways. So, the probability of getting two even numbers and an odd number = 3*(0.5)*(0.5)*(0.5) = (3 / .

## What is the probability of getting a 4 each time if a die is rolled 3 times?

Answer: The correct answer option is b. 1/216. So to find the probability of getting a 4 each time if a die is rolled 3 times, we will multiply the probability of getting a 4 by 3.

## What is the probability of getting a total of 7 when rolling 2 dice?

Probabilities for the two dice

Total Number of combinations Probability
7 6 16.67%
8 5 13.89%
9 4 11.11%
10 3 8.33%

## What is the probability of getting a 7 when rolling 2 dice?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

## What is the probability of getting at most the difference of 3?

1/6 chance for each side, 1/36 to roll any one of those combinations. Multiply that chance by 3, for the 3 combinations we can roll to give us a difference of 3, and we get 3/36, or an 8.

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## How do you find the probability of 3 dice?

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%

## What is the probability of getting 3 sixes when you roll 3 dice?

The odds of rolling a triple six are less than 100%. Therefore there is NO finite number of rolls which would guarantee a win. The probability of rolling a triple 6 is 1/216.

## How do you find the probability of two dice?

If you want to know how likely it is to get a certain total score from rolling two or more dice, it’s best to fall back on the simple rule: Probability = Number of desired outcomes ÷ Number of possible outcomes. 