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J, M, and T are events such that M⊂J⊂T and Pr(J)=19/32 , Pr(M)=9/32, and Pr(T)=31/32 What...

J, M, and T are events such that M⊂J⊂T and Pr(J)=19/32 , Pr(M)=9/32, and Pr(T)=31/32

What is Pr(M∩T′)?


What is Pr(M∪T′)?


What is Pr((M′∩J)∪T′)?

If a member of the Electric Guitar Club is selected at random, the following probabilities apply.
The probability that they are good at playing lead guitar is 0.5.
The probability that they are good at playing rhythm guitar is 0.26.
The probability that they are good at playing bass guitar is 0.34.
The probability that they are good at playing lead guitar and rhythm guitar but not bass guitar is 0.05.
The probability that they are good at playing bass guitar but not lead or rhythm guitar is 0.03.
The probability that they are good at playing both lead guitar and bass guitar is 0.31.
The probability that they are good at playing both rhythm guitar and bass guitar is 0.16.

What is the probability they are good at exactly one of the three?

What is the probability they are good at all three?

What is the probability they are not good at any of the three?

J, K, and L are events in sample space S.
Pr(J)=0.28
Pr(K)=0.25
Pr(L)=0.4
Pr(J∩K)=0.16
Pr(J′∩L′)=0.48
Pr(K′∩L)=0.24

What is Pr(J∪K)?

What is Pr(J∩L)?

What is Pr(K∩L′)?

math   Statistics-And-Probability   
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