ten people were asked if they have a brother or sister. this venn diagram shows the results. a person is randomly chosen from those shown in the venn diagram.

let event A = the person has a sister

let event B = the person has a brother

What does P(B| A) = 0.50 mean in terms of the venn diagram ?

ten people were asked if they have a brother or sister this venn diagram shows the results a person is randomly chosen from those shown in the venn diagram let class=

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Answer:

out of the 4 people who had a sister, 2 also had a brother

Step-by-step explanation:

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The P(B| A) = 0.50 mean in terms of the Venn diagram is of the 4 people who have a brother, 2 of them also have a sister.

What is the experimental probability?

Experimental probability is a probability that is determined on the basis of a series of experiments.

Events are defined as follows.

Event A: The selected person has a sister

Event B: The selected person has a brother

The conditional probability of A given B is the probability that the selected person also has a sister since he has a brother.

[tex]\rm P(A|B)=\dfrac{P(A\ and \ B)}{P(B)}[/tex]

P(B) is the probability that the selected person has a brother. Notice that there are 4 people who have a brother.

P(A and B) is the probability that the selected person has a brother and also a sister. Notice that there are 2 people who have a brother and a sister.

So P(A| B) = 0.5 means that of the 4 people who have a brother, 2 of them also have a sister.

Hence, the P(B| A) = 0.50 mean in terms of the Venn diagram is of the 4 people who have a brother, 2 of them also have a sister.

Learn more about probability here;

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