in a class of students, the following data table summarizes how many students have a brother or a sister…

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?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|2|5|\n|does not have a sister|11|6|

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?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|2|5|\n|does not have a sister|11|6|

Answer

Answer:

$\frac{5}{11}$

Explanation:

Step1: Identify relevant values

Number of students without brother and with sister = 5, number of students without brother = 5 + 6 = 11.

Step2: Apply conditional - probability formula

Probability = $\frac{\text{Number of students without brother and with sister}}{\text{Number of students without brother}}=\frac{5}{11}$.