Answer: 1/3.
- A 1/3
- B 2/3
- C 2/5
- D 1/2
Correct answer: A. 1/3
Explanation: By Bayes: (1/2·2/5)/(1/2·2/5 + 1/2·4/5) = (2/5)/(6/5) = 1/3.
Venn diagram of the universal set U with events A and B, showing the intersection (A and B), the parts unique to each event, and the complement region outside both.
Concept context
Chance, events, conditional probability, and Bayes theorem