4. About 30% of the U.S. population is under 20 years old. About 17% of the population is over 60, which of the following is the probability that a person chosen at random is under 20 or over 60?

-17%
-53%
-47%
-30%

Respuesta :

A = person is under 20

B = person is over 60

P(A or B) = P(A) + P(B) ... works because A and B are mutually exclusive

P(A or B) = 0.30 + 0.17

P(A or B) = 0.47 = 47%

The probability that a person chosen at random is under 20 or over 60 is 47% , option C is the correct answer.

What is Probability ?

Probability is a topic in mathematics  where the likeliness of an event is studied.

The range of probability is 0 to 1 .

0 indicates uncertainty to 1 indicating certainty.

It is given in the question that

30% of the U.S. population is under 20 years old

About 17% of the population is over 60

probability that a person chosen at random is under 20 or over 60 = ?

Let P(A) represents person under 20

Let P(B) represents person over 60

As a person is chosen at random and the events cannot happen together so they are mutually exclusive events.

The probability for mutually exclusive event is given by

P(A or B) = P(A) + P(B)

P(A) = 17% = 0.17

P(B) = 30% = 0.3

P(A or B) = 0.30 + 0.17

P(A or B) = 0.47 = 47%

Therefore , the probability that a person chosen at random is under 20 or over 60 is 47% , option C is the correct answer.

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