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A fair 6-sided die is rolled eight times. What is the probability that there are exactly...

A fair 6-sided die is rolled eight times. What is the probability that there are exactly four even numbers?

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Answer #1

A fair six sided die is rolled 8 times

There are 3 even numbers (2,4,6) and 3 odd numbers (1,3,5) obtained when a die is rolled.

Hence, Probability of getting an even no. = 3/6 = 0.5

Similarly, Probability of getting an odd no. = 3/6 = 0.5

We need to find the probability of exactly 4 even numbers

This can be done from binomial probability system by:

P =

Thus P =

P =

P = 0.2734

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