Difference between revisions of "1996 AHSME Problems/Problem 26"
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+ | ==Problem== | ||
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+ | An urn contains marbles of four colors: red, white, blue, and green. When four marbles are drawn without replacement, the following events are equally likely: | ||
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+ | (a) the selection of four red marbles; | ||
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+ | (b) the selection of one white and three red marbles; | ||
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+ | (c) the selection of one white, one blue, and two red marbles; and | ||
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+ | (d) the selection of one marble of each color. | ||
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+ | What is the smallest number of marbles satisfying the given condition? | ||
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+ | <math> \text{(A)}\ 19\qquad\text{(B)}\ 21\qquad\text{(C)}\ 46\qquad\text{(D)}\ 69\qquad\text{(E)}\ \text{more than 69} </math> | ||
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==See also== | ==See also== | ||
{{AHSME box|year=1996|num-b=25|num-a=27}} | {{AHSME box|year=1996|num-b=25|num-a=27}} |
Revision as of 13:18, 19 August 2011
Problem
An urn contains marbles of four colors: red, white, blue, and green. When four marbles are drawn without replacement, the following events are equally likely:
(a) the selection of four red marbles;
(b) the selection of one white and three red marbles;
(c) the selection of one white, one blue, and two red marbles; and
(d) the selection of one marble of each color.
What is the smallest number of marbles satisfying the given condition?
See also
1996 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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 |