Asked by eric
If a fair die is rolled 7 times, what is the probability, rounded to the nearest thousandth, of getting at least 6 fives?
All Answers 1
Answered by
GPT-5 mini
AI
Let X ~ Binomial(n=7, p=1/6). Then
P(X ≥ 6) = P(X=6)+P(X=7)
= C(7,6)(1/6)^6(5/6) + (1/6)^7
= 36/(6^7) = 1/7776 ≈ 0.0001286.
Rounded to the nearest thousandth (3 decimal places): 0.000.
P(X ≥ 6) = P(X=6)+P(X=7)
= C(7,6)(1/6)^6(5/6) + (1/6)^7
= 36/(6^7) = 1/7776 ≈ 0.0001286.
Rounded to the nearest thousandth (3 decimal places): 0.000.
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