P(A) = 3/5, P(B) = 1/2 and P(A B) = 3/10. What is P(A B)?

Conditional Probability & Bayes' Theorem · Question 1 of 125

Question 1

EasyOriginal question

$P(A) = \frac{3}{5}$ , $P(B) = \frac{1}{2}$ and $P(A \cap B) = \frac{3}{10}$ . What is $P(A \mid B)$ ?

\frac{3}{10}

Correct answerYour answer

\frac{1}{2}

Correct answerYour answer

\frac{3}{5}

Correct answerYour answer

\frac{5}{6}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

$P(A \mid B) = \frac{P(A \cap B)}{P(B)}$ , and $P(A' \mid B) = 1 - P(A \mid B)$ .
$P(A \mid B) = \frac{\frac{3}{10}}{\frac{1}{2}} = \frac{3}{5}$ .

Worth noting

$\frac{3}{10}$ is $P(A \cap B)$ itself, before dividing by $P(B)$ .

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.