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If a student is selected at random from a group of 15 students, where 9 are girl

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Question: If a student is selected at random from a group of 15 students, where 9 are girls and 6 are boys, what is the probability that the student is a boy? (2023)

Options:

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

Correct Answer: 1/3

Exam Year: 2023

Solution: 

Probability of selecting a boy = Number of boys / Total students = 6/15 = 2/5.

If a student is selected at random from a group of 15 students, where 9 are girl

Practice Questions

Q1
If a student is selected at random from a group of 15 students, where 9 are girls and 6 are boys, what is the probability that the student is a boy? (2023)
  1. 2/5
  2. 1/3
  3. 1/2
  4. 3/5

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 15 students, where 9 are girls and 6 are boys, what is the probability that the student is a boy? (2023)
  • Step 1: Identify the total number of students in the group. There are 15 students.
  • Step 2: Identify how many of those students are boys. There are 6 boys.
  • Step 3: Use the formula for probability, which is the number of favorable outcomes divided by the total number of outcomes.
  • Step 4: Plug in the numbers into the formula: Probability of selecting a boy = Number of boys (6) / Total students (15).
  • Step 5: Calculate the probability: 6 divided by 15 equals 0.4.
  • Step 6: Simplify the fraction 6/15 to its simplest form, which is 2/5.
  • Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes.
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