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A number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. A is represented by the event that the number picked is greater than 7. What is the probability of the complement of event A? 310 25 35 710

Respuesta :

mperemsky
First, find the probability of a number being picked greater than 7 (8,9,10). It is 3/10. Next, the question asks for the complement of this, meaning everything not in the set. The complement of 3/10 is 7/10.

To look at this another way, the complement of {8,9,10} is {1,2,3,4,5,6,7}.

Answer: 7/10

The probability of the complement of the event of selecting a number greater than 7 is;

P(A') = 7/10

The set from which a number is randomly selected is given as;

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

     We want to find the probability of selecting a number greater than 7.

From the given set, the numbers greater than 7 are; 8, 9 and 10.

This is a total of 3 numbers.

Thus, probability of selecting a number that is greater than 7 is;

P(A) = 3/10

To find the complement of the event A, it is gotten by the formula;

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

P(A') = 1 - (3/10)

P(A') = 7/10

Read more at; https://brainly.com/question/24403298

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