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If Q and R are events such that P(Q)=0.8, P(R)=0.5, P(R/Q)=0.4

Question

If Q and R are events such that $P (Q) = 0.8$ , $P (R) = 0.5$ , $P (R / Q) = 0.4$ . Determine the value of $P (Q \cap R)$ .

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Emily Discussed

If Q and R are events such that

P (Q) = 0.8

P (R) = 0.5

P (R / Q) = 0.4

. Determine the value of

P (Q \cap R)

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

We know,

P (R / Q) = \frac{P ( R \cap Q )}{P ( Q )}

0.4 = \frac{P ( Q \cap R )}{0.8}

P (Q \cap R) = 0.4 \times 0.8 = 0.32

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Question Text	If Q and R are events such that $P (Q) = 0.8$ , $P (R) = 0.5$ , $P (R / Q) = 0.4$ . Determine the value of $P (Q \cap R)$ .
Answer Type	Text solution:1
Upvotes	150