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In a box there are two prizes that are worth $5, a single prize worth $10, and a single prize worth $100. A player will reach into the box and draw one of the prizes at random. What is the fair price for this game?

          In a box there are two prizes that are worth $5, a single prize worth $10, and a single prize worth $100. A player will reach into the box and draw one of the prizes at random. What is the fair price for this game?
        

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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In a box there are two prizes that are worth $5, a single prize worth $10, and a single prize worth $100. A player will reach into the box and draw one of the prizes at random. What is the fair price for this game?
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Transcript

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00:01 Here and of dollar 5 that is 2000 and n of total that is 10 ,000 p has dollar of 5 that is n of 5 divided by n of total that is 200 divided by 10 ,000 now just like that p of dollar 25 that is an of dollar 25 divided by an of total that will be 20 divided by 10 ,000.
00:44 Now, p of dollar 100 that is an of dollar hundred divided by an of total that will be 5 divided by 10 ,000.
00:57 Now the expected value that is dollar of 5 into p of dollar of 5 plus dollar of 25 into p of dollar of 25 plus dollar of 100 into p of dollar of 100 that will be 5 into 200 divided by 10 ,000 plus 25 25 into 20 ,000...
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