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If a student is selected at random from a group of 40 students, where 25 are gir

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Question: If a student is selected at random from a group of 40 students, where 25 are girls and 15 are boys, what is the probability that the selected student is a boy?

Options:

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

Correct Answer: 3/8

Solution: 

Probability of selecting a boy = Number of boys / Total students = 15/40 = 3/8.

If a student is selected at random from a group of 40 students, where 25 are gir

Practice Questions

Q1
If a student is selected at random from a group of 40 students, where 25 are girls and 15 are boys, what is the probability that the selected student is a boy?
  1. 3/8
  2. 1/2
  3. 3/5
  4. 1/3

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 40 students, where 25 are girls and 15 are boys, what is the probability that the selected student is a boy?
  • Step 1: Identify the total number of students in the group. There are 40 students.
  • Step 2: Identify the number of boys in the group. There are 15 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. Here, the favorable outcome is selecting a boy, so we have: Probability of selecting a boy = Number of boys (15) / Total students (40).
  • Step 5: Calculate the probability: 15 / 40.
  • Step 6: Simplify the fraction 15 / 40 to its lowest terms. This gives us 3 / 8.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of outcomes.
  • Ratio – A comparison of two quantities, in this case, the number of boys to the total number of students.
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