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- When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
Question 1:
When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3? A. 155
B. 620
C. 671
Feedback When 4 dice are rolled simultaneously, there will be a total of 64 = 1296 outcomes.
The number of outcomes in which none of the 4 dice show 3 will be 54 = 625 outcomes.
Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671
The number of outcomes in which none of the 4 dice show 3 will be 54 = 625 outcomes.
Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671
D. 625
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