Question

question
in a class of students, the following data table summarizes how many students have a brother or
a sister. what is the probability that a student has a sister given that they do not have a brother?

	has a brother	does not have a brother
does not have a sister	11	6

Explanation:

Step1: Identify conditional probability

We need $P(\text{has sister}|\text{no brother}) = \frac{\text{students with sister and no brother}}{\text{students with no brother}}$.

Step2: Find numerator and denominator

Numerator: 5 (students with sister and no brother). Denominator: $5 + 6 = 11$ (total no brother).

Step3: Calculate probability

$\frac{5}{11}$

Answer:

$\frac{5}{11}$