Question

A number is randomly selected from {15, 16, 17, 18, 19, 20}. A is represented by the event that the number picked is less than or equal to 16. What is the probability of the complement of event A?.

Answer 1

The probability of the event that the number picked is less than or equal to 16 is 33.33%. Then the probability of the complement of event A is 66.67%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A number is randomly selected from {15, 16, 17, 18, 19, 20}.

A is represented by the event that the number picked is less than or equal to 16.

Total event = 6 {15, 16, 17, 18, 19, 20}

Favorable event = 2 {15, 16}

Then the probability of the event that the number picked is less than or equal to 16 will be

$\rm P(x\leq 16) = \dfrac{2}{6}\\\\P(x\leq 16) = \dfrac{1}{3} \\\\P(x\leq 16) = 0.3333\\\\ P(x\leq 16) = 33.33 \ \%$

The probability of the complement of event A will be

$\rm P(x > 16) = \dfrac{4}{6}\\\\P(x > 16) = \dfrac{2}{3} \\\\P(x > 16) = 0.6667\\\\ P(x > 16) = 66.67\ \%$

The probability of the complement of event A is 66.67%.

More about the probability link is given below.

brainly.com/question/795909