A student is selected at random from a group of 40 students, where 25 are studying Mathematics and 15 are studying Physics. What is the probability that the student is studying Mathematics given that they are not studying Physics?
Practice Questions
1 question
Q1
A student is selected at random from a group of 40 students, where 25 are studying Mathematics and 15 are studying Physics. What is the probability that the student is studying Mathematics given that they are not studying Physics?
5/8
3/8
1/2
1/3
If the student is not studying Physics, they must be studying Mathematics. Therefore, P(Math | Not Physics) = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: A student is selected at random from a group of 40 students, where 25 are studying Mathematics and 15 are studying Physics. What is the probability that the student is studying Mathematics given that they are not studying Physics?
Solution: If the student is not studying Physics, they must be studying Mathematics. Therefore, P(Math | Not Physics) = 1.
Steps: 6
Step 1: Understand the total number of students, which is 40.
Step 2: Identify how many students are studying Mathematics, which is 25.
Step 3: Identify how many students are studying Physics, which is 15.
Step 4: Determine how many students are not studying Physics. Since there are 15 students studying Physics, the number of students not studying Physics is 40 - 15 = 25.
Step 5: Recognize that if a student is not studying Physics, they must be studying Mathematics because there are only two subjects (Mathematics and Physics) in this group.
Step 6: Therefore, the probability that a student is studying Mathematics given that they are not studying Physics is 1 (or 100%).
