Question

Let event A = The person has a sister.

Let event B = The person has a brother.
HAS A
BROTHER
Adam
Bucci
Chu
Lyle
HAS A
SISTER
Davis
Kari
Evan
Sara
Tuan
Sajut
What does P(AIB) = 0.50 mean in terms of the Venn diagram?
A. Of the 10 people surveyed, 5 of them have only a brother or only a
sister.
B. Of the 4 people who have a brother, 2 of them also have a sister.
C. Of the 4 people who have a sister, 2 of them also have a brother.
D. Of the 10 people surveyed, 5 of them have a sister

Answer 1

The probability P(A|B) = 0.50 signifies that if 4 people have a brother, 2 also have a sister. This information can be visualized on a Venn diagram, with the overlapping section representing those who have both a brother and a sister.

Step-by-step explanation:

The probability P(A|B) = 0.50 can be represented on a Venn diagram by showing the overlapping area between events A and B. In this context, it means that given a person has a brother (event B), there is a 50% chance that this person also has a sister (event A). Therefore, if we know 4 people have a brother, P(A|B) = 0.50 indicates that half of them, which is 2 people, also have a sister. The correct answer is B: Of the 4 people who have a brother, 2 of them also have a sister.