Which describes the event 'exactly one of $A$ and $B$ happens'?

A \cup B

Correct answerYour answer

(A \cap B') \cup (A' \cap B)

Correct answerYour answer

A' \cap B'

Correct answerYour answer

(A \cup B) \cap B'

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Exactly one: either $A$ without $B$ , $A \cap B'$ , or $B$ without $A$ , $A' \cap B$ .
Join the two: $(A \cap B') \cup (A' \cap B)$ .

Worth noting

$A \cup B$ also includes both happening together.

Ten questions from Probability, at your own pace.

Ten questions from Probability, at your own pace.

Which describes the event 'exactly one of AAA and BBB happens'?