Question

Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.63 and P(R) = 0.48.

Answer 1

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

Answer 2

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