Question

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

Answer 1

Your answer would be 0.0081!

Answer 2

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