Probability and Combinatorics Worksheet
This worksheet covers fundamental concepts in probability and combinatorics, including permutations, combinations, and basic probability calculations.
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Topics
Probability and Combinatorics
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. In how many ways can 5 different books be arranged on a shelf?
5
25
120
625
2. A committee of 3 people is to be chosen from a group of 7 people. How many different committees can be formed?
21
35
210
840
3. The number of permutations of n distinct objects is given by n! which is read as n .
4. A is a selection of items from a larger set where the order of selection does not matter.
5. A bag contains 4 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability that it is blue?
6. How many distinct arrangements can be made from the letters of the word 'MISSISSIPPI'?
7. The probability of an event that is impossible is 0.
True
False
8. If P(A) = 0.6, then the probability of the complement of A, P(A'), is 0.4.
True
False
Match each term on the left with its definition on the right.
9. Permutation
a. An outcome or set of outcomes of an experiment
10. Combination
b. An arrangement of objects in which the order matters
11. Event
c. A selection of objects in which the order does not matter
12. A standard deck of 52 cards is shuffled. What is the probability of drawing a King or a Queen?
13. A restaurant offers a dinner combo with a choice of 3 appetizers, 5 main courses, and 2 desserts. How many different dinner combos are possible?