In a class of 40 students, 25 are girls and 15 are boys. If a student is selecte
Practice Questions
Q1
In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
1
0.5
0.25
0.75
Questions & Step-by-Step Solutions
In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
Step 1: Understand the total number of students in the class, which is 40.
Step 2: Identify the number of girls in the class, which is 25.
Step 3: Identify the number of boys in the class, which is 15.
Step 4: Recognize that if a student is not a girl, they must be a boy since there are only boys and girls in the class.
Step 5: Therefore, if we are looking for the probability of selecting a boy given that the student is not a girl, we can conclude that all students who are not girls are boys.
Step 6: Since all 15 boys are the only students left when we exclude girls, the probability is 15 boys out of 15 students who are not girls.
Step 7: Calculate the probability: P(Boy | Not Girl) = 15 boys / 15 students = 1.
