Answer :
The probability of acceptance of Jim at both the University as per given acceptance rate is equal to 0.135.
As given in the question,
Acceptance rate of Jim application at University x is equal to 30%
Acceptance rate of Jim application at University y is equal to 45%
Probability of acceptance of application in University x is:
P(x) = 30 /100
= 0.30
Probability of acceptance of application in University y is:
P(y) = 45 /100
= 0.45
Probability of acceptance of application at both the University is:
P(x and y) = P(x) × P(y)
= 0.30 × 0.45
= 0.135
Therefore, the probability of acceptance application at both the University is equal to 0.135.
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