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Given the probabilities p(a)=.3 and p(b)=.2, what is the probability of the union P(a union b)...

Given the probabilities p(a)=.3 and p(b)=.2, what is the probability of the union P(a union b) if a and b are mutually exclusive? If a and b are independent? If b is a subset of a? Explain your answer.

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Answer #1

Given

p(a) = 0.3

p(b) = 0.2

If event A and B are mutually exclusive then

Now

If A and B are mutually exclusive ,

If event A and B are independent then

Now

If a and b are independent,

  

If B is a subset of A then

Now

If b is a subset of a i.e.,  

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