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?
Practice Questions
1 question
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
If the student is not a girl, they must be a boy. Therefore, P(Boy | Not Girl) = 1.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: If the student is not a girl, they must be a boy. Therefore, P(Boy | Not Girl) = 1.
Steps: 5
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.
