The probability that a person plays sports is 65%. the probability that a person is between the age of 12 and 18 is 40%. the probability that a person plays sports and is between the ages of 12 and 18 is 26%. are the events independent? how do you know ?

1 Answer
SCooke
Dec 15, 2017

Independent. Because the probability of both occurring is equal to the product of the individual probabilities.

Explanation:

If they are dependent, the probability of one happening would depend on the other happening. If they are independent, the probability is just the product of the two individual probabilities.

This is the case in this scenario, so the events are independent.

#0.65 xx 0.4 = 0.26#

https://www.mathsisfun.com/data/probability-events-independent.html

https://www.mathsisfun.com/data/probability-events-conditional.html

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