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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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

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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regor60: Master | Next Rank: 500 Posts; Posts: 416; Joined: Thu Oct 15, 2009 11:52 am; Thanked: 27 times

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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