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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?

A. 1/6
B. 1/3
C. 2/3
D. none of the above

Verified Answer :

Answer:

C) 2/3

Step-by-step explanation:

Given:  { 15, 16, 17, 18, 19, 20} = 6

Event A is represents the number picked is less than or equal to 16.

Favorable outcomes = { 15, 16} = 2

Probability = The number of favorable outcomes/ The total number of possible outcomes.

Here the total number of outcomes = 6 and the number of favorable outcomes = 2

The probability of getting less than or equal to 16 P(A) = 2/6

Now we have to find the probability of complement event A.

P(A') = 1 - P(A)

= 1- 2/6

= (6 - 2)/6

= 4/6

When we simplify, we get 2/3

Therefore, the probability of complement of event A, P(A') = 2/3

Answer: C) 2/3

Hope this will helpful.

Thank you.

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