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A student is selected at random from a class of 40 students, where 25 are boys a

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

Options:

  1. 1/2
  2. 3/4
  3. 5/8
  4. 2/5

Correct Answer: 3/4

Solution: 

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

A student is selected at random from a class of 40 students, where 25 are boys a

Practice Questions

Q1
A student is selected at random from a class of 40 students, where 25 are boys and 15 are girls. What is the probability that the student is a boy given that the student is not a girl?
  1. 1/2
  2. 3/4
  3. 5/8
  4. 2/5

Questions & Step-by-Step Solutions

A student is selected at random from a class of 40 students, where 25 are boys and 15 are girls. 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 how many of those students are boys, which is 25.
  • Step 3: Identify how many of those students are girls, which is 15.
  • Step 4: Recognize that if a student is not a girl, they must be a boy.
  • Step 5: Since all students who are not girls are boys, the probability of selecting a boy given that the student is not a girl is 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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