The probability that joe will be accepted at both universities is 0.10 or 10 %
Given that,
Joe is thinking about getting his MBA. He submitted applications to two separate colleges. For applicants with comparable qualifications, university an accepts 25% of them, while university b accepts 40% of them.
To find it ,
Probability for applicants with similar qualifications is 25 percent for university a is P(A) is 0.25
Probability for applicants with similar qualifications is 40 percent for university a is P(B) is 0.40
The probability that joe will be accepted at both universities is product of probabilities
P(A*B) = P(A) * P(B)
= 0.25 * 0.40
= 0.10
P(A*B)= 0.10 or 10%
Hence,The probability that joe will be accepted at both universities is 0.10 or 10 %
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