SOLUTION: I am trying to figure out the probability of the following. I am rolling 4 dice total. I am trying to find the probability of having three out of the four dice rolled be equal to o

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Question 766019: I am trying to figure out the probability of the following. I am rolling 4 dice total. I am trying to find the probability of having three out of the four dice rolled be equal to or greater than 4 (i.e. % of 3 of the 4 dice rolling a 4,5,or 6).
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Q:
I am rolling 4 dice total. I am trying to find the probability of having three out of the four dice rolled be equal to or greater than 4 (i.e. % of 3 of the 4 dice rolling a 4,5,or 6).
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A:
The probability that a die rolled a 4,5, or 6 is 1/2 or 0.5.
Let X = number of dice out of the four dice rolling a 4,5, or 6.
X follows a Binomial Distribution with n = 4 and p = 1/2.
P(X = 3) = %28matrix%282%2C1%2C4%2C3%29%29%280.5%5E3%29%280.5%29 = highlight%280.25%29