# Calculating Probability of Selection

Please help with the following probability of selection problems. Provide step by step calculations.

There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only: AP Calculus and AP Statistics. The roster of the Calculus class shows 95 people; the roster of the Statistics class shows 86 people. There are 43 overachieving seniors on both rosters.

1. What is the probability that a randomly selected senior is in exactly one of the two classes (but not both).

2. If the student is in the Calculus class, what is the probability the student is also in the Statistics class?

© BrainMass Inc. brainmass.com October 10, 2019, 5:28 am ad1c9bdddfhttps://brainmass.com/math/basic-calculus/calculating-probability-selection-506332

#### Solution Preview

Please find the solution of your posting in the attached file. I hope it will help you to understand the topic. If you need any clarification, kindly feel free to ask. I will be happy to help you. Thanks!

There are 1000 students in the senior class at a certain high school. The high ...

#### Solution Summary

This solution helps with a problem regarding calculating probability.