Answer:
14.72% probability that both professors get their grants funded
Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both happening is:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
In this question:
Event A: Professor Jane is funded
Event B: Professor Joe is funded.
Professor Jane has a probability of 0.64 of being funded.
This means that [tex]P(A) = 0.64[/tex]
Professor Joe has probability 0.23 of being funded.
This means that [tex]P(B) = 0.23[/tex]
What is the probability that both professors get their grants funded
[tex]P(A \cap B) = P(A)*P(B) = 0.64*0.23 = 0.1472[/tex]
14.72% probability that both professors get their grants funded
