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If a student is selected at random from a group of 40 students, 25 of whom are b

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Question: If a student is selected at random from a group of 40 students, 25 of whom are boys, what is the probability that the student is a girl? (2020)

Options:

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

Correct Answer: 5/8

Exam Year: 2020

Solution: 

There are 40 - 25 = 15 girls. The probability of selecting a girl is 15/40 = 3/8.

If a student is selected at random from a group of 40 students, 25 of whom are b

Practice Questions

Q1
If a student is selected at random from a group of 40 students, 25 of whom are boys, what is the probability that the student is a girl? (2020)
  1. 1/2
  2. 3/8
  3. 3/5
  4. 5/8

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 40 students, 25 of whom are boys, what is the probability that the student is a girl? (2020)
  • Step 1: Identify the total number of students in the group. In this case, there are 40 students.
  • Step 2: Identify the number of boys in the group. Here, there are 25 boys.
  • Step 3: Calculate the number of girls by subtracting the number of boys from the total number of students. So, 40 - 25 = 15 girls.
  • Step 4: To find the probability of selecting a girl, divide the number of girls by the total number of students. This gives us 15/40.
  • Step 5: Simplify the fraction 15/40. Both numbers can be divided by 5, resulting in 3/8.
  • Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of outcomes.
  • Complementary Counting – Using the total number of students and the number of boys to find the number of girls.
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