a fair die is rolled nine times what is the probability that

a fair die is rolled nine times. what is the probability that an odd number (1, 3, or 5) will occur less than 2 times?

The probability p of an odd number is p = 3/6 = 1/2 = 0.5.

Thus, as it says \"fewer than 2\" times, we get P(0 odds) and P(1 odd), then add them.

Using

P(n, x) = nCx p^x (1 - p)^(n - x)

where n = number of trials, x = number of successes.

Then

P(9, 0) = 0.001953125

P(9, 1) = 0.017578125

Thus, adding them,

P(less than 2) = 0.01953125 [ANSWER]