A sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans. Find the probability that a randomly chosen automobile from this sample is black or a sedan.

Question

Jasmine Baldwin

Mathematics

9 January, 16:57

A sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans. Find the probability that a randomly chosen automobile from this sample is black or a sedan.

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Answers (1)

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Olivia · Answer 1

P=0.54.

Step-by-step explanation:

We know that in a sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans.

We calculate the number of sedans that are not black:

3120-1170=1950

We calculate the number of black cars that are not sedans:

1560-1170=390

The number of automobiles which are black or a sedan is

1950+390+1170=3510.

The probability that the automobile is black or a sedan is:

P=3510/6500

P=0.54.