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A box has 5 red, 7 blue, and 8 green beads. If three bead... | QuestionStock

Representative image for question: A box has 5 red, 7 blue, and 8 green beads. If three beads are drawn without replacement, what is the probability all three are different colors?

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Mathematics

A box has 5 red, 7 blue, and 8 green beads. If three beads are drawn without replacement, what is the probability all three are different colors?

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A box has 5 red, 7 blue, and 8 green beads. If three beads are drawn without replacement, what is the probability all three are different colors?

Options:

14/57
7/19
2/9
35/114

Correct answer: 14/57

Explanation: Favorable unordered choices: 5·7·8 = 280 ways to pick one of each color, and total ways C(20,3)=1140. Thus the probability is 280/1140 = 14/57; there are 20 beads.

Created 2026-03-10T18:16:35.294Z. Updated 2026-03-10T18:16:35.294Z.