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?
1/2
3/5
2/5
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.