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Washington State Math Olympiad
Hints and Solutions
2017 Grade 5 Probability & Statistics
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| Problem |
1) Two fair six-sided dice are rolled. What is the probability that the product is even?
(express your
answer as a fraction in lowest terms) |
2) How many ways can you arrange the letters in the word "MATH"? |
3) There are 5 red balls, 2 yellow balls, and 1 orange ball in a bag. You will select a ball without
looking and then put it back. If you do this 60 times, how many times would you expect to pick a
yellow ball? |
4) What number would you add to this list to make the median the same as the mode?
75, 63 75, 20, 15, 70, 63, 21 |
5) The mean of 4 numbers is 16. When the smallest number is removed, the mean of the remaining
3 numbers is 17. What number was removed? |
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