Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 8 Probability and Statistics
Problem
1) A caterer is sorting silverware. There are 75 knives, 50 forks, and 75 spoons. Twenty of the forks and 30 of the spoons have red handles. If a piece of silverware is chosen at random, what is the probability that it will be a fork or have a red handle? Express as a simplified fraction.
2) A poll is taken and each person is asked two questions. The results are shown in the table. What is the probability that someone answered, "yes" to both questions? Express as a simplified fraction.

3) An estimate of the number of tagged foxes to the total number of foxes in a forest is 3:13. A forest warden recorded 21 tagged foxes. About how many foxes are in the forest if this observation is low by about 5%? Round to the closest whole number. (Partial fox should not be included.)

Problem
4) If a baseball player has 18 hits in 50 at bats, what is the probability that he will get a hit in his next at bat? Express your answer as a percent.

5) The circle graph below shows Art's Online total yearly sales by quarter. The total amount of sales for the year was $20 million. Find the sales for the 2nd quarter: