Part II: Set Relations and Probability The Venn Diagram tool in the frame below

Question

Part II: Set Relations and Probability

The Venn Diagram tool in the frame below is designed to help you visualize the relations between sets, but it will only plot rectangular sets. Unless a question specifically refers to the tool, you should consider what would happen with other shaped sets as well in answering the questions.

Click the radio button to highlight the event "A or B." Drag the events A and B around with the mouse. Notice how the probability of "A or B" varies as you do. Do not change the probability of A or of B until instructed to do so! Make sure that you have not changed the probability of A or of B; you should have P(A) = 30% and P(B) = 20%.

P(AB) is smallest when (Q7) In that case, P(AB) = (Q8)

Problem 5 P(AB) is smallest when (Q In that case, P(AB) = (Q8) A: A and B are independent B: B is a subset of A C: A and B are mutually exclusive D: A is a subset of B E: none of the above

Explanation / Answer

Solution:

(Q7) (B)B is a subst of A

(Q8)20%

Given ,

P( A ) = 30%

P( B ) = 20%

P( AB ) is smallest when ( B ) B is a subset of A in that case, P( AB ) 20%

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