Answer:
The value of P (A ∩ B) is 0.25.
Step-by-step explanation:
Independent events are those events that do not effect the occurrence of each other, i.e. if event X and Y are independent then the occurrence of X and Y are not influenced by each other.
For independent events X and Y the joint probability of X and Y is:
[tex]P (X\cap Y)=P(X)\times P(Y)[/tex]
It is provided that events A and B are independent of each other.
And P (A) = P (B) = 0.50.
Compute the value of P (A ∩ B) as follows:
[tex]P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25[/tex]
Thus, the value of P (A ∩ B) is 0.25.
