Problem preview

S-CP.9 Warmup M2-071-A14-V03

Use permutations and combinations to compute probabilities of compound events and solve problems.

Decode a combination or permutation probability expression

Problem

Interpret the numerator as taking exactly \(2\) from a group of \(6\) and \(3\) from a group of \(8\), with the denominator counting all unordered groups of \(5\) from \(14\).

Answer choices

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Unordered: exactly 2 from the group of 6 and 3 from the group of 8.

Unordered: at least 2 from the group of 6 and at least 3 from the group of 8.

Unordered: exactly 3 from the group of 6 and 2 from the group of 8.

Ordered: exactly 2 from the group of 6 and 3 from the group of 8.

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Curriculum context

Course: Math II
Standard: S-CP.9
Category: Statistics and Probability
Domain: Conditional Probability and the Rules of Probability
Objective: Use permutations and combinations to compute probabilities of compound events and solve problems.
Problem type: Decode a combination or permutation probability expression