A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly selected. Let M be the event that the participant brought a microwave and let C be the event that the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant brought both a microwave and a console, P(M and C)?
Since 50 of the 500 students brought neither item, 500 − 50 = 450 brought a microwave or a console, or both. Using inclusion-exclusion, the number who brought both is 425 + 380 − 450 = 355. Thus, P(M and C) = 355/500 = 0.71, so the correct choice is 0.71.
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