A student is selected at random from a group of 40 students, where 25 are studyi

Practice Questions

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 Physics given that the student is not studying Mathematics?

Questions & Step-by-Step Solutions

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 Mathematics. Since there are 25 students studying Mathematics, the number of students not studying Mathematics is 40 - 25 = 15.
Step 5: Realize that if a student is not studying Mathematics, they must be studying Physics because there are only two subjects.
Step 6: Since all 15 students who are not studying Mathematics are studying Physics, the probability that a randomly selected student is studying Physics given that they are not studying Mathematics is 15 out of 15.
Step 7: Calculate the probability, which is 15/15 = 1.

Conditional Probability – The probability of an event occurring given that another event has already occurred.
Complementary Events – Understanding that if a student is not studying Mathematics, they must be studying Physics in this scenario.

A student is selected at random from a group of 40 students, where 25 are studyi

Practice Questions

Questions & Step-by-Step Solutions

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