2016 AMC 8 Problems/Problem 13
Contents
Problem
Two different numbers are randomly selected from the set and multiplied together. What is the probability that the product is ?
Solutions
Solution 1
The product can only be if one of the numbers is . Once we chose , there are ways we can chose the second number, or . There are ways we can chose numbers randomly, and that is . So, so the answer is .
Solution 2 (Complementary Counting)
Because the only way the product of the two numbers is is if one of the numbers we choose is we calculate the probability of NOT choosing a We get Therefore our answer is
Video Solution (CREATIVE THINKING!!!)
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Video Solution by OmegaLearn
https://youtu.be/6xNkyDgIhEE?t=357
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Video Solution
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See Also
2016 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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