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
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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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]
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]