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Probability
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1.   A circle is randomly painted with small splotches of three different colors. One-ninth of the circle is red, a third of the circle is blue and the rest is green. What is the probability that a randomly thrown dart (thrown by a blindfolded person who has never seen the board), that hits the board, will land on a green area?

2.   You are playing the “shell" game. In this game, there is object (let's say a coin) hidden under one of four cups and you have to try and guess which cup it is under. Assuming the game is fair and there are four cups, what is the probability you will guess correctly on the first try?

3.   There is a certain book at the school library that has five hundred sixteen pages. If the probability that you will open the book to any page at random and find a picture is 14%, how many pages in the book have pictures on them? Assume that the pictures are randomly distributed throughout the book.

4.   Beetles have hit the potato crop in Crumb County hard this year. On average about 27% of the plants in the fields have been damaged by beetles. If you went to a local field of potatoes and randomly inspected eighty-three plants, about how many would you expect to find with beetle damage?

5.   Austin thinks of a whole number between two and thirty-five. He then asks his mom to guess what number he is thinking of. Assuming Austin is not known to have any number preference or predictable pattern to his number picking, what is the probability that his mom will correctly guess what number he is thinking of?

6.   There are eight black marbles and eight white marbles in a bag. What is the probability of pulling out a black marble on the first try?


 


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