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- Four dice are rolled simultaneously.
Question 1:
Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 6? A. 6! / 4!
B. 625
C. 671
Feedback When 4 dice are rolled simultaneously, there are 64 = 1296 outcomes. The converse of what is asked in the question is that none of the dice show '6'.
That is all four dice show any of the other 5 numbers. That is possible in 54 = 625 outcomes.
Therefore, in 1296 - 625 = 671 outcomes at least one of the dice will show 6.
That is all four dice show any of the other 5 numbers. That is possible in 54 = 625 outcomes.
Therefore, in 1296 - 625 = 671 outcomes at least one of the dice will show 6.
D. 1296
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