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Problem Solving (PS) | Re: x, y and z are all unique numbers. If x is chosen randomly

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bagdbmba wrote:

x, y and z are all unique numbers. If x is chosen randomly from the set {7, 8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the Probability that x and y are prime and z is not ?

A. 1/5
B. 3/20
C. 13/20
D. 3/10
E. 1/10


Since x is chosen from a set that is different from y and z, we see that the event x is prime is independent from the events y is prime and z is not prime. However, the events y isprime and z is not prime are not independent since they are chosen
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