Question

In a class of students, the following data table summarizes how many students have abrother or a sister. What is the probability that a student has a sister given that theydo not have a brother?Has a brother Does not have a brotherHas a sister42Does not have a sister315Answer:Submit Answerattempt 1 out of 2Privacy Policy Terms of Service

Answer 1

The data table of the given class is;

Total number of students in the class = 4 + 2 + 3 + 15

Total number of students in the class = 24

Number of student who has a sister and donot have a brother = 2

Required probability a student has a sister given that they

do not have a brother;

`\begin{gathered} \text{ Probability =}\frac{Number\text{ of students has a sister but donot have a brother}}{Total\text{ number of students}} \\ \text{Probability}=(2)/(24) \\ \text{Probability}=(1)/(12) \\ \text{Probability}=0.083 \end{gathered}`

Answer : 0.083