Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 7 Probability and Statistics
Problem

1) If you flip 5 quarters, what is the probability that only one quarter will land face up?
(Express your answer as a fraction)

2) Jesse spun a game spinner and recorded his results in this table:
Outcome Frequency
 A 9
 B 6
 C 10
What is the probability of landing on B?
(Express your answer as a percentage.)

3) There are five other players on Carter's kickball team. Kyle is the team captain and he picks the kicking order at random for each game. What is the probability that Carter will be the first to kick and Kyle will be the last?
(Express your answer as a fraction)

Problem

4) An estimate of the number of tagged foxes to the total number of foxes in a forest is 3:13. A forest ranger recorded 21-tagged foxes. How many foxes are in the forest if this observation is about 5% below expected of tagged foxes? Round to whole number. (Partial fox should not be included.)

5) Oren owns 6 shirts, 4 pairs of pants, and 3 pairs of shoes. If an outfit combination consists of one shirt, one pair of pants, and one pair of shoes, Oren's outfit combinations are reduced by how many when one of his shirts is thrown away?