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Scholarships The probability that Samantha will be
Chapter 4, Problem 30CQ(choose chapter or problem)
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.
Questions & Answers
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.