Answer:
Option B is correct
0.3024
Step-by-step explanation:
Definition:
If event A and B are independent, then;
[tex]P(A \cap B) = P(A) \cdot P(B)[/tex]
Given that:
Suppose Q and R are independent events.
We have to find [tex]P(Q \cap R)[/tex]
It is given that:
[tex]P(Q) = 0.63[/tex] and [tex]P(R) = 0.48[/tex]
then by definition we have;
[tex]P(Q \cap R) = P(Q) \cdot P(R)[/tex]
Substitute the given values we have;
[tex]P(Q \cap R) =0.63 \cdot 0.48[/tex]
Simplify:
[tex]P(Q \cap R) =0.3024[/tex]
Therefore, the value of [tex]P(Q \cap R)[/tex] is 0.3024
