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 who does not have a brother has a sister?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|3|2|\n|does not have a sister|4|9|

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 who does not have a brother has a sister?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|3|2|\n|does not have a sister|4|9|

Answer

Explanation:

Step1: Find number of students without brother

We sum the number of students who do not have a brother in the two - sister categories. So, $2 + 9=11$.

Step2: Find number of students without brother and with sister

The number of students who do not have a brother and have a sister is 2.

Step3: Calculate the probability

The probability $P$ that a student who does not have a brother has a sister is given by the formula $P=\frac{\text{Number of students without brother and with sister}}{\text{Number of students without brother}}$. So, $P = \frac{2}{11}$.

Answer:

$\frac{2}{11}$