A coin is tossed three times. $A$ is 'the first toss is a head' and $B$ is 'exactly two heads'. How many outcomes are in $A \cap B$ ?

2

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3

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4

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5

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

3 counts all of $B$ ; 'and' keeps only what is also in $A$ .

Ten questions from Probability, at your own pace.

Ten questions from Probability, at your own pace.

A coin is tossed three times. AAA is 'the first toss is a head' and BBB is 'exactly two heads'. How many outcomes are in A∩BA \cap BA∩B?