Review practice
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
Solve for a parameter and enforce probability bounds · Recover the marginal before testing independence · +4 more
- Question 1 · Solve for a parameter and enforce probability bounds
- Question 2 · Recover the marginal before testing independence
- Question 3 · Link both conditional probabilities through the shared intersection
- Question 4 · Bound the part of C lying in B but outside A
- Question 5 · Recover A from a disjoint region before using independence
- Question 6 · Keep the two dice ordered when checking event independence
Section 2 · Questions 7–12
Account for the first red ball being removed · Use the preceding meal to choose each transition probability · +4 more
- Question 7 · Account for the first red ball being removed
- Question 8 · Use the preceding meal to choose each transition probability
- Question 9 · Condition a hypergeometric count on at least one match
- Question 10 · Keep a grouped IP pair and separately place the JC2 members
- Question 11 · Condition on the first black draw before counting the remaining whites
- Question 12 · Separate dependent sets from independent repeated matches
Section 3 · Questions 13–16
Give proper fractions and condition on both people finding jobs · Distinguish finite sampling from independent-person conditioning · +2 more
- Question 13 · Give proper fractions and condition on both people finding jobs
- Question 14 · Distinguish finite sampling from independent-person conditioning
- Question 15 · Correct the intermediate expansion before solving for the percentage
- Question 16 · Condition the multi-pack card sample on its suit counts