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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