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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 Gmat_mission » Fri Jan 28, 2022 11:01 am

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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. \(\dfrac25\)

B. \(\dfrac9{20}\)

C. \(\dfrac{49}{100}\)

D. \(\dfrac{99}{200}\)

E. \(\dfrac12\)

Answer: B

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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 » Mon Jan 31, 2022 12:20 pm
Whatever number one rolls there's a 1/10 chance that the other rolls the same number and a 9/10 chance that the numbers are different.

Each has a 50% chance of rolling a larger number than the other when the numbers are different.

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