Question

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)?
0.65
0.71
0.76
0.90

Answer 1

Answer:

The answer is B. 0.71

Step-by-step explanation:

Answer 2

The probability that the participant brought both a microwave and a console is 0.65.

Since 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, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

• 500 = 425
• 1 = X
• 425/500 = X
• 0.85 = X
• 380/500 = X
• 0.76 = X
• 0.85 x 0.76 = X
• 0.646 = X

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

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