Respuesta :

Let A = {1, 2, 8} and B = {2, 7}.

P ( A ∪ B ) = {1, 2, 7, 8}

= 4/10

= 0.4

Answer: 0.4

The probabilty of the union of set A and B; P ( A ∪ B )= 0.4.

What is the sample space for a random experiment?

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the  sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

We have been given the following information;

Let the sample space represent all the values from 1 to 10.

Let consider a set of A = {1, 2, 8} and B = {2, 7}.

P ( A ∪ B ) = {1, 2, 7, 8}

P ( A ∪ B )= 4/10

P ( A ∪ B )= 0.4

Therefore, the probabilty of the union of set A and B; P ( A ∪ B )= 0.4.

Learn more about sample space of a random experiment here:

https://brainly.com/question/9773761

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