WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD   Session II: SEVENTH GRADE PROBABILITY & STATISTICS   Make sure you include proper units in your answer! 7

1. Clinton Middle School is putting numbers on their new basketball jerseys. Players must choose one or two numbers from the set of 1, 3, 5, 7, and 9. How many different one-digit and two-digit numerals can they make for their jerseys?

2. Find a set of 6 two-digit even whole numbers which have a sum of 246, a median of 41, and no mode.

3. In the game of 'Yahtzee', five dice are thrown. A 'Yahtzee' consists of all five dice showing the same number. What is the probability that in one throw of the dice a person will get a 'Yahtzee"? Express your answer in fraction form.

4. Two of the digits 1-5 are selected at random without replacement. (Once a digit has been selected, it can not be chosen a second time.) What is the probability that the positive difference between the two numbers is 3?

5. The Continental Hockey League consists of two conferences, each with 6 teams. During the playing season, every team plays the teams within its own conference twice and each team in the other conference once. How many games are played during the season?