2007 AMC 10B Problems/Problem 19
Problem
The wheel shown is spun twice, and the randomly determined numbers opposite the pointer are recorded. The first number is divided by and the second number is divided by The first remainder designates a column, and the second remainder designates a row on the checkerboard shown. What is the probability that the pair of numbers designates a shaded square?
Solution
When dividing each number on the wheel by the remainders are and Each column on the checkerboard is equally likely to be chosen.
When dividing each number on the wheel by the remainders are and
The probability that a shaded square in the st or rd row of the st or rd column is
The probability that a shaded square in the nd or th row of the nd column is
Add those two together
See Also
2007 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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All AMC 10 Problems and Solutions |