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In a class of 30 students, 21 have a brother and 14 have a sister. There are 4 students who do not have any siblings. What is the probability that a student has a sister given that they have a brother?Answer

Question

In a class of 30 students, 21 have a brother and 14 have a sister. There are 4 students who do not have any siblings. What is the probability that a student has a sister given that they have a brother?Answer

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Solution

To solve this problem, we need to use the concept of conditional probability.

Step 1: Identify the total number of students who have a brother. According to the problem, this is 21 students.

Step 2: Identify the number of students who have both a brother and a sister. This can be found by subtracting the number of students who have no siblings and those who only have a brother from the total number of students.

Total students = 30 Students with no siblings = 4 Students with only a brother = 21 - (students with both a brother and a sister)

We can set up the equation: 30 - 4 - (students with only a brother) =

This problem has been solved

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