Difference between revisions of "2019 Mock AMC 10B Problems/Problem 6"
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| − | Each die has <math>3</math> prime numbers: <math>2, 3, 5</math>. Since the numbers rolled on each die must be distinct, the answer is <math>\frac{ | + | Each die has <math>3</math> prime numbers: <math>2, 3, 5</math>. Since the numbers rolled on each die must be distinct, the answer is <math>\frac{2}{6} \cdot \frac{3}{6} = \boxed{\text{(C)} \frac{1}{6}}</math>. |
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Latest revision as of 20:46, 25 October 2025
Problem
Mark rolled two standard dice. Given that he rolled two distinct values, find the probability that he rolled two primes.
Solution
Each die has
prime numbers:
. Since the numbers rolled on each die must be distinct, the answer is
.