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:
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