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A student is selected from a class of 40 students, where 25 are girls and 15 are

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

Options:

  1. 1
  2. 0
  3. 1/2
  4. 3/4

Correct Answer: 1

Solution: 

If the student is not a boy, they must be a girl. Therefore, the probability is 1.

A student is selected from a class of 40 students, where 25 are girls and 15 are

Practice Questions

Q1
A student is selected from a class of 40 students, where 25 are girls and 15 are boys. What is the probability that the student is a girl given that the student is not a boy?
  1. 1
  2. 0
  3. 1/2
  4. 3/4

Questions & Step-by-Step Solutions

A student is selected from a class of 40 students, where 25 are girls and 15 are boys. What is the probability that the student is a girl given that the student is not a boy?
  • Step 1: Understand the total number of students in the class, which is 40.
  • Step 2: Identify how many of those students are girls, which is 25.
  • Step 3: Identify how many of those students are boys, which is 15.
  • Step 4: Recognize that if we are looking for a student who is not a boy, we are only considering the girls.
  • Step 5: Since the only students left (not boys) are girls, the probability of selecting a girl in this case is 100%.
  • Step 6: Therefore, the probability that the student is a girl given that the student is not a boy 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 and how they relate to the event of interest.
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