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)
2/5
1/5
3/5
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.