Back to Find conditional probability from a model — Problem 3 · 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. Let $A = $ "a king" and $B = $ "a face card" (Jack, Queen, or King). Find , the probability the card is a king given it is a face card. Enter your answer as a fraction in lowest terms.