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)
1/2
3/8
3/5
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.