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If a student is selected at random from a group of 20 students, what is the prob

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Question: If a student is selected at random from a group of 20 students, what is the probability that the student is not a girl if there are 12 girls? (2020)

Options:

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

Correct Answer: 2/5

Exam Year: 2020

Solution: 

Number of boys = 20 - 12 = 8. Probability = 8/20 = 2/5.

If a student is selected at random from a group of 20 students, what is the prob

Practice Questions

Q1
If a student is selected at random from a group of 20 students, what is the probability that the student is not a girl if there are 12 girls? (2020)
  1. 2/5
  2. 1/5
  3. 3/5
  4. 1/2

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 20 students, what is the probability that the student is not a girl if there are 12 girls? (2020)
  • Step 1: Identify the total number of students in the group, which is 20.
  • Step 2: Identify the number of girls in the group, which is 12.
  • Step 3: Calculate the number of boys by subtracting the number of girls from the total number of students: 20 - 12 = 8 boys.
  • Step 4: To find the probability of selecting a student who is not a girl (i.e., a boy), use the formula: Probability = (Number of boys) / (Total number of students).
  • Step 5: Substitute the values into the formula: Probability = 8 / 20.
  • Step 6: Simplify the fraction 8 / 20 to get 2 / 5.
  • Probability Calculation – Understanding how to calculate the probability of an event occurring, in this case, selecting a boy from a group of students.
  • Complementary Events – Recognizing that the probability of selecting a boy is the complement of selecting a girl.
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