If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability...

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If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability that Enid will roll a larger number than Topanga does?

A. 2/5
B. 9/20
C. 49/100
D. 99/200
E. 1/2

Answer: B

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They could both roll the same number.

Barring that, there's an equal probability that one would roll a higher number than the other, since there is no evidence that the dice prefer one lady over the other.



One lady rolls a number. Probability of the other lady rolling the same number is 1/10.

Remaining possibilities therefore are 9/10 or 18/20.

Half of these will be higher for one and half for the other.

Answer [spoiler]B,9/20[/spoiler]