Difference between revisions of "1996 AHSME Problems/Problem 22"
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| + | ==Problem 22== | ||
| + | |||
| + | Four distinct points, <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math>, are to be selected from <math>1996</math> points | ||
| + | evenly spaced around a circle. All quadruples are equally likely to be chosen. | ||
| + | What is the probability that the chord <math>AB</math> intersects the chord <math>CD</math>? | ||
| + | |||
| + | <math> \text{(A)}\ \frac{1}{4}\qquad\text{(B)}\ \frac{1}{3}\qquad\text{(C)}\ \frac{1}{2}\qquad\text{(D)}\ \frac{2}{3}\qquad\text{(E)}\ \frac{3}{4} </math> | ||
| + | |||
==See also== | ==See also== | ||
{{AHSME box|year=1996|num-b=21|num-a=23}} | {{AHSME box|year=1996|num-b=21|num-a=23}} | ||
Revision as of 13:04, 19 August 2011
Problem 22
Four distinct points, 
, 
, 
, and 
, are to be selected from 
points
evenly spaced around a circle. All quadruples are equally likely to be chosen.
What is the probability that the chord 
intersects the chord 
?
See also
| 1996 AHSME (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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
