Question

Probability of rolling a dice 100 times with 6 coming exactly 20 tiimes

Answer 1

Assuming that each roll is independent, you have a 1/6 chance of rolling a 6. You want to find the probability of it rolling a 6 twenty times out of 100, so we have (1/6)^20. Here the order doesn’t matter so multiply this by (100/20). For eighty times, you will have (5/6)^80 chance in rolling a die that is not a 6.

(100/20)(1/6)^20(5/6)^80

Answer 2

Given that the dice is rolled 100 times and we need to find the probability of getting 6 exactly 20 times.

The total number of possible outcomes when a dice is rolled = 6

Probability of getting a 6 = 1/6

Probability of getting a number except 6 = 5/6

So we need 6 exactly 20 times out of 100 times .

The Probability of getting 6 exactly 20 times = 100C20 × (1/6)^20 × (5/6)^80