Back to Find conditional probability from a model — Problem 4 · 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
Work through problems with immediate feedback
A

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.

One card is drawn from a standard 52-card deck. Verify the counting result with the HSS.CP.A.3 formula. Using P(king and face)=452P(\text{king and face}) = \frac{4}{52} and P(face)=1252P(\text{face}) = \frac{12}{52}, compute P(king and face)P(face)\dfrac{P(\text{king and face})}{P(\text{face})}. Enter your answer as a fraction in lowest terms.