A student is selected from a class of 40 students, where 25 are girls and 15 are
Practice Questions
Q1
A student is selected from a class of 40 students, where 25 are girls and 15 are boys. What is the probability that the student is a girl given that the student is not a boy?
1
0
1/2
3/4
Questions & Step-by-Step Solutions
A student is selected from a class of 40 students, where 25 are girls and 15 are boys. What is the probability that the student is a girl given that the student is not a boy?
Step 1: Understand the total number of students in the class, which is 40.
Step 2: Identify how many of those students are girls, which is 25.
Step 3: Identify how many of those students are boys, which is 15.
Step 4: Recognize that if we are looking for a student who is not a boy, we are only considering the girls.
Step 5: Since the only students left (not boys) are girls, the probability of selecting a girl in this case is 100%.
Step 6: Therefore, the probability that the student is a girl given that the student is not a boy 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 and how they relate to the event of interest.
