If a student is selected at random from a group of 20 students, 8 of whom are gi

Practice Questions

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

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 20 students, 8 of whom are girls, what is the probability that the selected student is a boy?
  • Step 1: Identify the total number of students in the group. There are 20 students.
  • Step 2: Identify the number of girls in the group. There are 8 girls.
  • Step 3: Calculate the number of boys by subtracting the number of girls from the total number of students: 20 - 8 = 12 boys.
  • Step 4: To find the probability of selecting a boy, divide the number of boys by the total number of students: 12 boys / 20 students.
  • Step 5: Simplify the fraction 12/20. Both numbers can be divided by 4: 12 ÷ 4 = 3 and 20 ÷ 4 = 5.
  • Step 6: The simplified probability of selecting a boy 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.
  • Basic Arithmetic – The fundamental operations of addition, subtraction, multiplication, and division used to calculate the number of boys and the probability.
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