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Question

A die is rolled four times, what is the probability of obtaining exactly one six

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Answer 1

The die has 6 sides, the probability of rolling a six when the die is rolled once is 1/6.

When rolled 4 times, each time has a probability of 1/6.

So,
1/6 * 1/6 *1/6 *1/6 = 1/1296

Answer 2

The above answer is not quite right.

"The die has 6 sides, the probability of rolling a six when the die is rolled once is 1/6" is true. So let, p = 1/6. We are looking for the probability of exactly one success in 4 rolls. Using the Bernoulli trials method,
your answer will be .386