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 a microwave or a console, P(M or C)?
Since 50 of the 500 students brought neither item, 500 − 50 = 450 brought a microwave or a console (or both). The two-way table counts are: both, 355; microwave only, 70; console only, 25; neither, 50. Thus P(M or C) = 450/500 = 0.90, so the answer is 0.90.
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