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If a student is selected at random from a group of 20 students, where 8 are girl

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Question: If a student is selected at random from a group of 20 students, where 8 are girls, what is the probability that the selected student is a boy?

Options:

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

Correct Answer: 3/5

Solution: 

The number of boys is 20 - 8 = 12. The probability of selecting a boy is 12/20 = 3/5.

If a student is selected at random from a group of 20 students, where 8 are girl

Practice Questions

Q1
If a student is selected at random from a group of 20 students, where 8 are girls, what is the probability that the selected student is a boy?
  1. 3/5
  2. 1/4
  3. 1/2
  4. 2/5

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 20 students, where 8 are girls, what is the probability that the selected student is a boy?
  • Step 1: Identify the total number of students in the group. In this case, there are 20 students.
  • Step 2: Identify the number of girls in the group. Here, there are 8 girls.
  • Step 3: Calculate the number of boys by subtracting the number of girls from the total number of students. So, 20 - 8 = 12 boys.
  • Step 4: Write down the total number of boys, which is 12.
  • Step 5: To find the probability of selecting a boy, divide the number of boys by the total number of students. This gives us 12/20.
  • Step 6: Simplify the fraction 12/20. Both numbers can be divided by 4, resulting in 3/5.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Complementary Counting – Using the total number of items and subtracting the known quantity (in this case, girls) to find the unknown quantity (boys).
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