Verified Answer :

caylus

Hello,

Q and R are independent if p(Q and R)=p(Q)*p(R)
Here p(Q and R)=0.63-0.48=0.3024
ANSWER B

Answer:

Option B is correct

0.3024

Step-by-step explanation:

Definition:

If event A and B are independent, then;

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

Given that:

Suppose Q and R are independent events.

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

It is given that:

\(P(Q) = 0.63\) and \(P(R) = 0.48\)

then by definition we have;

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

Substitute the given values we have;

\(P(Q \cap R) =0.63 \cdot 0.48\)

Simplify:

\(P(Q \cap R) =0.3024\)

Therefore, the value of \(P(Q \cap R)\) is 0.3024