1.

When Four Fair Dice Are Rolled Simultaneously, In How Many Outcomes Will At Least One Of The Dice Show 3?

Answer»

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 OUTCOMES.

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

Therefore, the number of outcomes in which at least ONE DIE will show 3 = 1296 – 625 = 671.

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671.



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