If a student is selected at random from a group of 20 students, 12 of whom are g

Practice Questions

Q1
If a student is selected at random from a group of 20 students, 12 of whom are girls, what is the probability that the student is a girl?
  1. 3/5
  2. 2/5
  3. 1/2
  4. 1/3

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 20 students, 12 of whom are girls, what is the probability that the student is a girl?
  • Step 1: Identify the total number of students in the group. There are 20 students.
  • Step 2: Identify how many of those students are girls. There are 12 girls.
  • Step 3: To find the probability of selecting a girl, use the formula: Probability = (Number of girls) / (Total number of students).
  • Step 4: Substitute the numbers into the formula: Probability = 12 / 20.
  • Step 5: Simplify the fraction 12/20. Both numbers can be divided by 4.
  • Step 6: After simplification, 12/20 becomes 3/5.
  • Step 7: The final answer is that the probability of selecting a girl is 3/5.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
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