A student is selected at random from a class of 40 students, where 25 are boys a
Practice Questions
Q1
A student is selected at random from a class of 40 students, where 25 are boys and 15 are girls. What is the probability that the student is a boy given that the student is not a girl?
1/2
3/4
5/8
2/5
Questions & Step-by-Step Solutions
A student is selected at random from a class of 40 students, where 25 are boys and 15 are girls. 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 how many of those students are boys, which is 25.
Step 3: Identify how many of those students are girls, which is 15.
Step 4: Recognize that if a student is not a girl, they must be a boy.
Step 5: Since all students who are not girls are boys, the probability of selecting a boy given that the student is not a girl is 1.
Conditional Probability – The probability of an event occurring given that another event has already occurred.
Total Probability – Understanding the total number of outcomes in a probability scenario.