Determine whether events A and B are disjoint (a.k.a. mutually exclusive) or not

Question

Determine whether events A and B are disjoint (a.k.a. mutually exclusive) or not. a) A sample of 20 cars is selected from the inventory of a dealership. A = At least 3 of the cars in the sample are red, B = Fewer than 2 of the cars in the sample are red. b) A = Malik has Math 133 on Tuesdays at 2:00, B = Malik has ENG 131 on Wednesdays at 2.00. Suppose you are going to spin a European Roulette wheel once. Remember that Appendix B has the Probability Reference Sheet with Roulette bet explanations. Note that the European wheel has only one green "0" space. Give fraction answers, show work. a) What is the probability that you win if you bet on either "10/13 Line" or 1/5 Corner"? b) What is the probability that you lose when you bet on "16 street"? c) What is the probability that you lose if you bet on either "3rd dozen" or "Straight Up 24"?

Explanation / Answer

a) Events A and B are mutually exclusive events(disjoint)

b) Events A and B are not mutually exclusive events.(not disjoint)

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