Question

(APEX)
Eight 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) = 0.25 mean in terms of the Venn Diagram

Answer 1

Answer:

Of the 4 people who have a sister, 1 of them also has a brother.

Step-by-step explanation:

Just took the quiz on APEX :)

Answer 2

Answer:

The expression P(B/A) = 0.25 mean in terms of the Venn Diagram :

     Option: D

D. of the 4 people who has a sister , 1 of them has a brother.          

Step-by-step explanation:

event A = the person has a sister

and event B = the person has a brother

This means that: A∩B denote the event that the person has a sister and brother.

Also we are given that: P(B|A)=0.25

We know that:

$P(B|A)=\dfrac{P(A\bigcap B)}{P)(A)}$

Also,

$0.25=\dfrac{1}{4}=\dfrac{P(A\bigcap B)}{P(A)}$

This means that out of the 4 person who has a sister 1 has a brother.