WASHINGTON STATE MATHEMATICS COUNCIL
2000 MIDDLE SCHOOL MATH OLYMPIAD
FIFTH GRADE PROBABILITY & STATISTICS
1. What is the probability of drawing one marble which is either red or blue from a bag containing 3 red, 2 blue, and 5 yellow marbles?
2. Find the sum
of the mean and mode of the following math test scores:
85, 81, 95, 90, 75, 76, 81, 100, 85, 75, 81
3. What is the probability of rolling a sum of 11 with 2 fair six-sided dice?
4. I scored 85 and 88 on my first 2 math tests. It takes an average of 90 or better to get an A for the course. I have only one more test to take. What is the least score I need on that test to get an A for the course?
5. Mrs. Andrews chooses from six people to sit in a row of 4 chairs. How many different ways can she choose? (How many different ways can she sit the 6 people in the 4 chairs?)