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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 selected student is a boy? (2021)

Options:

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

Correct Answer: 2/5

Exam Year: 2021

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 selected student is a boy? (2021)
  1. 1/3
  2. 2/5
  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 selected student is a boy? (2021)
  • Step 1: Identify the total number of students in the group. There are 15 students in total.
  • Step 2: Identify the number of boys in the group. There are 6 boys.
  • Step 3: Use the formula for probability, which is: Probability = Number of favorable outcomes / Total outcomes.
  • Step 4: Substitute the values into the formula. The number of favorable outcomes (boys) is 6, and the total outcomes (students) is 15.
  • Step 5: Calculate the probability: Probability of selecting a boy = 6 / 15.
  • Step 6: Simplify the fraction 6/15 to its simplest form, which is 2/5.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of possible outcomes.
  • Ratio Simplification – The process of reducing a fraction to its simplest form.
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