21 of 100: Two Ways to Roll Ten Dice

Probability Level 2

Which is more likely?

A: You roll two dice 5 times and, every time, one of the two comes up as 1 and the other as 6.

B: You roll 10 dice all at once. 5 come up as 1s and the other 5 come up as 6s.

Assume the dice are standard, six-sided, and fair.

How are the two situations similar? How are they different?


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