WASHINGTON STATE MATHEMATICS COUNCIL
1999 MIDDLE SCHOOL MATH OLYMPIAD
FIFTH GRADE PROBABILITY & STATISTICS
(Make sure you include the units in your answer!)
1. A sandwich shop has 3 meats: ham, turkey and roast beef. They have 2 kinds of bread: white and whole wheat. They have 4 choices of vegetable: lettuce, onions, tomato, pickle. They have 4 choices of dressing: Italian, Thousand Island, Mustard, Ketchup. If you select 1 meat, 1 bread, 1 vegetable and 1 dressing, how many different sandwiches could the shop make?
2. Krista has 2 jars. The big one has 1 red and 2 green gumballs. The little one has 1 red and 1 green gumball. If Krista pulls a gumball out of each jar, what is the probability that they will both be red? Express your answer as a fraction in lowest terms.
3. I have a bag of marbles containing the following: 8 red marbles, 16 blue marbles, 4 green marbles, 7 yellow marbles. What is the probability of drawing a blue marble out of this bag? Express your answer as a fraction in lowest terms.
4. Find the mean, mode, median and range of this set of math scores for a 5th grade class:
88, 92, 80, 72, 88, 97, 78, 92, 80, 87, 92
5. How many ways can a basketball team of 20 players elect a captain and co-captain, assuming the captain cannot also be the co-captain?