Practice Questions on Calculating Probability Using Combination
Q1. A committee of 4 people is to be selected from a group of 10 people. What is the probability that a specific person, Alice, is on the committee?
Q2. From a standard deck of 52 cards, 5 cards are drawn at random. What is the probability that all 5 cards are of the same suit?
Q3. A class has 12 boys and 8 girls. If a group of 5 students is selected at random, what is the probability that the group will consist of 3 boys and 2 girls?
Q4. A jar contains 7 red marbles and 5 blue marbles. If you draw 3 marbles at random, what is the probability that exactly 2 of them are red?
Q5. From a shelf of 8 math books and 6 science books, you randomly select 4 books. What is the probability that you select 2 math books and 2 science books?
How To Calculate Probability using Combination
Combination probability is a mathematical method that involves the process of combination in determining the number of favorable outcomes of an event. We use combinations in probability problems to determine a sequence of outcomes where the order of the outcomes does not matter. Understanding how to calculate combination probability can be a useful mathematical skill in the field of math and science.
In this article, we will discuss in detail the definitions of combination and probability and how to calculate combination probability with solved examples.
Table of Content
- What is Combination Probability in Math?
- Combination in Math
- What is Probability?
- Formula for Calculating Probability using Combination
- How to Calculate Combination Probability?