Difference between revisions of "2011 AMC 12A Problems/Problem 14"
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== Problem == | == Problem == | ||
| + | Suppose <math>a</math> and <math>b</math> are single-digit positive integers chosen independently and at random. What is the probability that the point (a,b) lies above the parabola <math>y=ax^2-bx</math>? | ||
| + | |||
| + | <math> | ||
| + | \textbf{(A)}\ \frac{11}{81} \qquad | ||
| + | \textbf{(B)}\ \frac{13}{81} \qquad | ||
| + | \textbf{(C)}\ \frac{5}{27} \qquad | ||
| + | \textbf{(D)}\ \frac{17}{81} \qquad | ||
| + | \textbf{(E)}\ \frac{10}{81} </math> | ||
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== Solution == | == Solution == | ||
== See also == | == See also == | ||
{{AMC12 box|year=2011|num-b=13|num-a=15|ab=A}} | {{AMC12 box|year=2011|num-b=13|num-a=15|ab=A}} | ||
Revision as of 02:34, 10 February 2011
Problem
Suppose 
and 
are single-digit positive integers chosen independently and at random. What is the probability that the point (a,b) lies above the parabola 
?
Solution
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 13 |
Followed by Problem 15 |
| 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 AMC 12 Problems and Solutions | |
