A fair six-faced die is rolled five times. The probability, in %, of obtaining "ONE" at least four times is

33.3
3.33
0.33
0.0033

Correct answer: 0.33

Solution

Let X be the number of times 'ONE' appears in 5 rolls. Then X ~ Binomial(5, 1/6). We need P(X ≥ 4) = P(X = 4) + P(X = 5), which is very small and equals about 0.33%.

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