In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
Practice Questions
1 question
Q1
In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
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The total number of students that are not boys is 12 (girls). The probability of selecting a girl given that the student is not a boy is 12/12 = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
Solution: The total number of students that are not boys is 12 (girls). The probability of selecting a girl given that the student is not a boy is 12/12 = 1.
Steps: 6
Step 1: Identify the total number of students in the class, which is 30.
Step 2: Identify the number of boys in the class, which is 18.
Step 3: Calculate the number of girls in the class, which is 30 - 18 = 12.
Step 4: Determine the number of students that are not boys. Since all the girls are not boys, this number is 12 (the number of girls).
Step 5: The probability we want to find is the chance of selecting a girl given that the student is not a boy. Since all students that are not boys are girls, the probability is 12 (girls) divided by 12 (not boys).
