Question

1. 	Person B has visited	Person B has not visited	Total
   Person A has visited	2	0	2
   Person A has not visited	0	48	48
   Total	2	48	50

   Now suppose that one of the 50 states is selected at random, so each state has a 1/50 = .02 probability of being selected.

2. Determine the conditional probability that A has visited the (randomly selected) state, given that B has visited it. Is this conditional probability greater than, less than, or the same as the (unconditional) probability that A has visited the state?

2. Determine the conditional probability that B has visited the (randomly selected) state, given that A has visited it. Is this conditional probability greater than, less than, or the same as the (unconditional) probability that B has visited the state?

3. Are the events {A has visited the state} and {B has visited the state} mutually exclusive? Justify your answer.

4. Are the events {A has visited the state} and {B has visited the state} independent? Justify your answer.

5. Determine the conditional probability that both persons have visited the (randomly selected) state, given that at least one of them has visited it.

Answer 1