1991 AJHSME Problems/Problem 22
Problem
Each spinner is divided into equal parts. The results obtained from spinning the two spinners are multiplied. What is the probability that this product is an even number?
Solution
Instead of computing this probability directly, we can find the probability that the product is odd, and subtract that from .
The product of two integers is odd if and only if each of the two integers is odd. The probability the first spinner yields an odd number is and the probability the second spinner yields an odd number is , so the probability both yield an odd number is .
The desired probability is thus .
See Also
1991 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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