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A fair 6-sided die is rolled 30 times. What is the expected number of times that number 1 will come up? What is the probability that number 1 will come up its expected number of times? Thank you.

 Dec 9, 2020
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1 - The expected number of times that number 1 will come up should be: 30 * (1/6) = 5 times.

 

2 - The probability that number 1 will come its expected number of times should be: (30 C 5) * (1/6)^5 * (5/6)^25 ==19.21%

 Dec 10, 2020

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