AP Statistics 2.6 A Calculate Conditional Probabilities Questions

Practise calculating conditional and joint probabilities by restricting the sample space, applying intersection formulas, and reversing conditions with total probability.

Exam points

calculate a conditional probability by restricting the denominator to outcomes satisfying the given event
apply the intersection-over-given-event formula to tables, probability statements, or distributions
use the general multiplication rule to calculate a joint probability or sequential-event probability
combine total probability with joint probabilities to reverse a condition and identify the source event

A medical researcher surveyed a large group of men and women about whether they take medicine as prescribed. The responses were categorized as never, sometimes, or always. The relative frequency of each category is shown in the table.

Table for Question AP Statistics 2.6 A Calculate Conditional Probabilities Questions question 1 — AP Statistics

One person from those surveyed will be selected at random.

What is the probability that the person selected will be someone whose response is never given that the person is a woman?

P( never $\mid$ woman $)=\frac{P(\text { never and woman })}{P(\text { woman })}=\frac{0.0636}{0.53}=0.12$

All question bank results loaded

AP Statistics 2.6 A Calculate Conditional Probabilities Questions question 1