Question

Two professors are applying for grants. Professor Jane has a probability of 0.67 of being funded. Professor Joe has probability 0.26 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.What is the probability that both professors get their grantsfunded? Give your answer to four decimal places.

Answer 1

There is a probability of 0.1742 (or 17.42%) in which both professors get the grants.

Using probability from two aspects means you need to multiply. Multiplying the probabilities will give you the probability of both professors getting a grant. 0.67*0.26=0.1742 or 17.42%