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In a class of 19 students, 12 have a brother and 6 have a sister. There are 2 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?
Answer:

In a class of $19$ students, $12$ have a brother and $6$ have a sister. There are $2$ students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother and a sister? $\newline$ Answer:

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Probability of independent and dependent events

Full solution

Q. In a class of

19

students,

12

have a brother and

6

have a sister. There are

2

students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?

\newline

Answer:

Identify Total Students: First, we need to identify the total number of students in the class. $\newline$ Total number of students = $19$
Determine Students with Siblings: Next, we determine the number of students who have both a brother and a sister. $\newline$ Number of students with both a brother and a sister = $2$
Calculate Probability: Now, we calculate the probability that a student chosen randomly from the class has both a brother and a sister. $\newline$ Probability = $\frac{\text{Number of students with both a brother and a sister}}{\text{Total number of students}}$ $\newline$ Probability = $\frac{2}{19}$
Simplify Fraction: We simplify the fraction if possible. $\newline$ The fraction $\frac{2}{19}$ is already in its simplest form.

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