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
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 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. 2/5
B. 9/20
C. 49/100
D. 99/200
E. 1/2


OA B

Source: Veritas Prep

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