Question

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

Answer 1

The probability that a student who does not have a brother has a sister is 53.33%.

Probability

Given that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:

• 20 - 5 = 100
• 11 - 3 = X
• 15 = 100
• 8 = X
• 8 x 100 / 15 = X
• 800 / 15 = X
• 53.33 = X

Therefore, the probability that a student who does not have a brother has a sister is 53.33%.

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