Back to Find conditional probability from a model — Problem 2 · Task Set 23

Exercises: Find Conditional Probability as the Fraction of B's Outcomes That Are Also A

Work through each section in order. To find P(A | B), restrict to B's outcomes first, then count how many of them are also in A: the denominator is the number of B's outcomes, NOT all outcomes. Write probabilities as fractions in lowest terms unless asked otherwise, and interpret each conditional probability with a sentence: "among the B's, this fraction are A."

Grade 10·20 problems·~32 min·Common Core Math - HS Statistics and Probability·group·hss-cp-b-6
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Fluency Practice

For each, restrict to B and count A among B's outcomes. Enter probabilities as fractions in lowest terms (for example, 1/3).

1.

A fair die is rolled. Let $A = $ "even" ={2,4,6}= \{2, 4, 6\} and $B = $ "greater than 2" ={3,4,5,6}= \{3, 4, 5, 6\}. Find P(AB)P(A \mid B). Enter your answer as a fraction in lowest terms.