Which two sets of events are most likely independent?A.Event A: A student makes the drama team.Event B: The student likes macaroni and cheese.B.Event A: A student gets enough sleep.Event B: The student is alert in class.C.Event A: A car is blue.Event B: The car lasts over 20 years.D.Event A: A woman buys cat toys.Event B: The woman has a cat.
Question
Which two sets of events are most likely independent?A.Event A: A student makes the drama team.Event B: The student likes macaroni and cheese.B.Event A: A student gets enough sleep.Event B: The student is alert in class.C.Event A: A car is blue.Event B: The car lasts over 20 years.D.Event A: A woman buys cat toys.Event B: The woman has a cat.
Solution
The two sets of events that are most likely independent are:
Event A: A car is blue. Event B: The car lasts over 20 years.
This is because the color of a car (Event A) does not influence or have any direct correlation with how long the car lasts (Event B). The other events have some level of dependency. For example, a student who gets enough sleep is likely to be more alert in class, and a woman who buys cat toys likely has a cat. The student making the drama team and liking macaroni and cheese could potentially be related if, for example, the drama team often has macaroni and cheese at their gatherings. However, the color of a car and its lifespan are generally independent events.
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