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 game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?
Since 50 students brought neither item, 450 brought at least one. The number who brought both is 425 + 380 − 450 = 355. “Did not bring a microwave or did not bring a console” includes everyone except those who brought both, so its probability is (500 − 355)/500 = 0.29. The correct choice is 0.29.
AI-written and checked against the verified answer.