Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2014 Grade 8 Probability and Statistics
Problem
1) To inspire good citizenship, the teacher places popsickle sticks with the student names on them in the citizenship cup when they display acts of good citizenship. At the end of the day five names are drawn at random for prizes. On Friday there were 20 popsickle sticks in the citizenship jar including Miguel. What is the probability that Miguel will be picked first or second for a prize?
2) Douglas MS participated in a contest with the results shown. If five teams participated, what is their highest score? (Try and create a data set that works.)

3) A Elite Style inspects 500 hair dryers manufactured and finds 495 to have no defects. There are 20,000 hair dryers in their warehouse. Predict the number of hair dryers that will have no defects in the warehouse.

Problem
4) When rolling a single six sided die three times, how much more likely are you to roll all three different numbers compared to all three the same number? Express your answer as a ratio.

5) Dana has to collect experimental data on 3 penny flips. Based on her data she is a little suspicious of her penny. What should the data look like in theory for a fair penny in 40 trials?