For events A and B, Pr(A)=0.2 and Pr(B)=0.3. Find Pr(A\B) in each of the following cases:?

Question

a) A U(sideways U) B, (that is A is included in B)

b)A and B are mutually exclusive

c)A and B are independent

Answer 1

0

.2

.14

Hint for all:

P(A) = P(A\B) + P(A∩B)

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IMPORTANT NOTE:

P(A\B) is one standard notation for P(A ∩ B').  P(A-B) is another.  In answering this question, I assumed you meant this notation.

If you meant conditional probability, which has standard notation P(A|B), then look at the other post's answers and in the future, use the vertical bar | instead of the slash \ for conditional probability.

Answer 2

For events A and B, Pr(A)=0.2 and Pr(B)=0.3. Find Pr(A|B) in each of the following cases:

a) A ⊂ B

P(A | B) = P(A)/P(B) = 0.2/0.3 = 2/3

b) A and B are mutually exclusive

P(A | B) = 0

c) A and B are independent

P(A | B) = P(A) = 0.3