Question

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

0.0945

0.3024

0.15

1.11

Answer 1

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 2

Option B is correct

0.3024

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