Scholarships The probability that Samantha will be

Chapter 4, Problem 30CQ

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QUESTION:

Problem 30CQ

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.

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QUESTION:

Problem 30CQ

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.

ANSWER:

Solution:

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.


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