Difference between revisions of "1994 AJHSME Problems/Problem 22"
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Revision as of 00:14, 5 July 2013
Problem
The two wheels shown below are spun and the two resulting numbers are added. The probability that the sum is even is
Solution
An even sum occurs when an even is added to an even or an odd is added to an odd. Looking at the areas of the regions, the chance of getting an even in the first wheel is and the chance of getting an odd is
. On the second wheel, the chance of getting an even is
and an odd is
.
\[\frac14 \cdot \frac23 + \frac34 \codt \frac13 = \frac16 + \frac14 = \boxed{\text{(D)}\ \frac{5}{12}}\] (Error compiling LaTeX. Unknown error_msg)
See Also
1994 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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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