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Find the probability of an adult being a college graduate or exercising regularly when 26% are college graduates, 31% exercise regularly, and 20% are engaged in both activities in California.

asked
User Europa
by
7.6k points

1 Answer

2 votes

Final answer:

To find the probability of an adult being a college graduate or exercising regularly, you can use the concept of probability. The probability of an adult being a college graduate or exercising regularly is 0.37 or 37%. This can be found by adding the probabilities of each event and subtracting the probability of their intersection.

Step-by-step explanation:

To find the probability of an adult being a college graduate or exercising regularly, we need to use the concept of probability. We are given that 26% of adults are college graduates, 31% exercise regularly, and 20% are engaged in both activities.

When two events are not mutually exclusive, we can find the probability of their union by adding the probabilities of each event and subtracting the probability of their intersection. So, the probability of an adult being a college graduate or exercising regularly can be found as:

P(College graduate or Exercise) = P(College graduate) + P(Exercise) - P(College graduate and Exercise)

Substituting the given percentages:

P(College graduate or Exercise) = 0.26 + 0.31 - 0.20 = 0.37

Therefore, the probability of an adult being a college graduate or exercising regularly is 0.37 or 37%.

answered
User Bob Denny
by
8.5k points
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