Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 7 Probability and Statistics
Problem

1) What two numbers must be added to this set to make the mean equal to 20 and to make median equal the mode?
22, 19, 17, 25, 15

2) How many ways are there to arrange the letters in the word FOOTY without duplicates?

3) A dart lands on a random spot on this target made of concentric circles. What is the probability that it lands on a shaded region?
Express your answer as a fraction in lowest terms.
Each marked segment is 2 inches long.

Problem

4) There are two bags. The first bag contains 2 blue marbles and 1 yellow marble. The other bag contains 2 blue marbles, 1 yellow marble, and 1 red marble. You draw one marble randomly from each bag. What is the probability that the colors match?
Express your answer as a fraction in lowest terms.

5) A red six-sided and a blue six-sided dice are rolled. What is the probability that the number on the red die is divisible by the number on the blue die?
Express your answer as a fraction in lowest terms.