SOLUTION: Suppose 5 fair 6-sided dice are thrown at a time and they are independant of each other. What is the probability that exactly 3 of the dice are 1's? What is the probabilty that exa

Question 302071: Suppose 5 fair 6-sided dice are thrown at a time and they are independant of each other. What is the probability that exactly 3 of the dice are 1's? What is the probabilty that exactly 3 of the dice are any of the same number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose 5 fair 6-sided dice are thrown at a time and they are independant of each other.
What is the probability that exactly 3 of the dice are 1's?
Binomial Problem with n = 5 ; p = 1/6 ; x = 3
P(x=3) = 5C3*(1/6)^3(5/6)^2 = 0.0322
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What is the probabilty that exactly 3 of the dice are any of the same number?
Ans: The results are mutually exclusive.
Ans: 6(0.0322) = 0.1929
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Cheers,
Stan H.
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