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In a class of 40 students, 25 are girls and 15 are boys. If a student is selecte

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Question: In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?

Options:

  1. 1
  2. 0.5
  3. 0.25
  4. 0.75

Correct Answer: 1

Solution: 

If a student is not a girl, they must be a boy. Therefore, P(Boy | Not Girl) = 15/15 = 1.

In a class of 40 students, 25 are girls and 15 are boys. If a student is selecte

Practice Questions

Q1
In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
  1. 1
  2. 0.5
  3. 0.25
  4. 0.75

Questions & Step-by-Step Solutions

In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
  • Step 1: Understand the total number of students in the class, which is 40.
  • Step 2: Identify the number of girls in the class, which is 25.
  • Step 3: Identify the number of boys in the class, which is 15.
  • Step 4: Recognize that if a student is not a girl, they must be a boy since there are only boys and girls in the class.
  • Step 5: Therefore, if we are looking for the probability of selecting a boy given that the student is not a girl, we can conclude that all students who are not girls are boys.
  • Step 6: Since all 15 boys are the only students left when we exclude girls, the probability is 15 boys out of 15 students who are not girls.
  • Step 7: Calculate the probability: P(Boy | Not Girl) = 15 boys / 15 students = 1.
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Total Probability – Understanding the total number of outcomes in a probability scenario.
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