
Bella J.
asked 11/14/21Need help please!
There is a wheel of prizes at the county fair that costs 1 dollar to spin. Use this wheel of prizes to complete the questions.
- Each black section takes up 1/4 of the wheel. If you land on that, you walk away with nothing.
- The blue section takes up 1/8 of the wheel. If you land on that, you get a small prize (a piece of candy or bookmark).
- The purple section takes up 1/8 of the wheel. If you land on that, you get a medium prize (a bracelet or a squirt gun).
- The green section takes up 1/12 of the wheel. If you land on that, you get to spin again.
- The red section takes up 1/12 of the wheel. If you land on that, you get a large prize (a stuffed animal or t-shirt).
- The yellow section takes up 1/30 of the wheel. If you land on that, you get $5.
- The orange section takes up 1/30 of the wheel. If you land on that, you get $10.
- The white section takes up 1/60 of the wheel. If you land on that, you get the $50 jackpot.
3. What is the probability that a player will land on "small prize" or "medium prize" with one spin? (What of the wheel is small and medium % not including large?)
4. What is the probability that a player will win money with one spin? (What percentage has a prize worth the money?)
5. Joey decides to spin the wheel 60 times. What is the expected outcome of spins? (How many times should it land on each space?)
1 Expert Answer
Mark M.'s question should be a clue to the first 2 questions.
The answer to part 3 is much less clear since there is not a common measure by which to evaluate the prizes.
However, his expected $ winnings would be 2*5 + 2*10 + 50 = $80. This would be an unusual game of chance, indeed, since the expected $ income far exceeds the cost to play.
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Mark M.
What4 is the definiton of probability?11/14/21