SOLUTION: A fair die is rolled 4 times. What is the probability that a 3 is obtain don at least one of the rolls?

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Question 1131576: A fair die is rolled 4 times. What is the probability that a 3 is obtain don at least one of the rolls?
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A fair die is rolled 4 times. What is the probability that a 3 is obtain don at least one of the rolls?
Binomial Problem with n = 4 ; p = 1/6 ; q = 5/6
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P(at least one 3) = 1 - (5/6)^4 = 0.5177
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Cheers,
Stan H.
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Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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A fair die is rolled 4 times. What is the probability that a 3 is obtained highlight%28cross%28don%29%29 at least one of the rolls?
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            Pay attention on how I edited your post in order to make sense.


The COMPLEMENT event is not obtaining a 3 at all, and this complement event has the probability  %285%2F6%29%5E4 = 5%5E4%2F6%5E4.

So, the probability under the question is  1+-+5%5E4%2F6%5E4 = 0.5177 = 51.77% (approximately).    ANSWER

Solved.