To find P(A | B), the probability of event A occurring given that event B has occurred, we can use the property of independent events in probability. When two events A and B are independent, the occurrence of one does not affect the occurrence of the other.
According to the definition of independent events:
P(A | B) = P(A) (since A and B are independent)
In this case, we are given:
- P(A) = 0.05
- P(B) = 0.65
Therefore, we can substitute P(A) into our equation:
P(A | B) = P(A) = 0.05
Thus, the probability of event A occurring given that event B has occurred is 0.05 or 5%.