Scholarships The probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35. If the probability that she is accepted by the college is 0.65, find the probability that she will obtain a scholarship given that she is accepted by the college.

Step 1 of 2:

Given,

Let A = Samantha gets accepted by the college

B = she gets a scholarship.

P(Samantha will be accepted by the college of her choice and obtain a scholarship) = P(AB)

= 0.35

P(she is accepted by the college) = P(A)

= 0.65

The claim is to find the probability that she will obtain scholarship given that she is accepted by the college.