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

P(A|B) = 0.50 means that of the 4 people who have a brother, 2 also have a sister, indicating a 50% chance of having a sister given that a person has a brother.

The correct answer to the given question is option B.

The probability P(A|B) = 0.50 represents the probability of event A occurring given that event B has occurred. In terms of the Venn diagram, this can be interpreted as the percentage of the subset of people who have a brother that also have a sister.

Based on the given options, the correct interpretation is option B: Of the 4 people who have a brother, 2 of them also have a sister.

This indicates that, given a person has a brother, there is a 50% chance that they also have a sister.