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

This topic has expert replies
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Source: Veritas Prep

Master | Next Rank: 500 Posts
Posts: 415
Joined: Thu Oct 15, 2009 11:52 am
Thanked: 27 times
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]