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In a survey on internet usage , it was found that out of a total of 27 people, 16 use ADSL lines, 15 use wireless internet and 3 use neither of the two . what is the probability that a person chosen at random uses both internet connections

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varshamittal029

The probability that a person chosen at random uses both internet connections is 1/9

Total number of people = 27

Number of people who use ADSL lines = 16

Number of people who use wireless internet = 15

Number of people who use neither of the two = 3

Let the number of people who use only ADSL lines and wireless internet be denoted by A and B respectively.

Then A + B + A∩B + 3 must be equal to 27

⇒ A + B + A∩B = 24

further, we can see that (A + A∩B) = 16

⇒ B + 16 = 24

B = 8

Also,  (B + A∩B) = 15

⇒ 8 +  A∩B = 15

A∩B = 7

Thus, the number of people who use both internet connections = 7

Now, P(A∩B) = 7/27

= 1/9

Hence, probability that a person chosen at random uses both internet connections is 1/9.

Learn more about probability here-

https://brainly.com/question/25870256

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