1. According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 36%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 43%. Finally, they list that probability of both happening in the next month is 33%. What is the probability that Elon Musk will offer you a free trip into space in the next month?

2. Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?

3. Given the following probability distribution, what is the expected value?

Outcome	P(Outcome)
31	0.12
25	0.08
2	0.06
14	0.21
40	0.00
6	0.53

4. In a certain year, 11,805 professional train pushers are diagnosed with carpal tunnel. The top cities for such diagnoses are Tokyo with 2,083, Osaka with 3,080, and Kyoto with 1,867. If a professional train pusher recently diagnosed with carpal tunnel is randomly selected, what is the probability that they are from somewhere other than Tokyo, Kyoto or Osaka?