Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.27 and P(R) = 0.03.

Question

asked Dec 5, 2018 168k views

2 Answers

Rpmx · Answer 1 · 2018-12-08T13:27:10+0000

Answer:

Value of
$P(Q \cap R)$ is, 0.0081

Explanation:

For an independent events A and B is given by:

$P(A \cap B) =P(A) \cdot P(B)$

As per the statement:

Suppose Q and R are independent events.

P(Q) = 0.27 and P(R) = 0.03.

We have to find
$P(Q \cap R)$

By definition we have;

$P(Q \cap R) =P(Q) \cdot P(R)$

Substitute the given values we have;

$P(Q \cap R) =0.27 \cdot 0.03$

⇒
$P(Q \cap R)=0.0081$

therefore, the value of
$P(Q \cap R)$ is, 0.0081