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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

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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

by BTGmoderatorDC » Sun Apr 03, 2022 6:56 pm

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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


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

by regor60 » Wed Apr 06, 2022 11:32 am
Don't forget ties.

The odds of a tie are one rolls a number and the other has 1/10 chance of matching, so

1/10 chance of tie

This leaves 9/10 chance to roll different numbers.

Half the time a given person will roll higher than the other, so

1/2*9/10 = [spoiler]9/20, B[/spoiler]
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