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Money · Ages 10+ · Set A
The Lucky Wheel
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Goal: 15 min
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Remember: Odds are counted: gold slots out of all slots. A wheel with one gold slot in ten keeps coins for the house over many turns, so it is not a way to get money. Ask a grown-up about the rules in your place.

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The Lucky WheelAt the Pennyfield fair, Mr. Odd kept a stall with a big wheel. His sign said Lucky Wheel, one coin a spin. The wheel had ten equal slots: nine plain and one gold. You put in one coin and spin. If the pointer stops on gold, six coins come back. On a plain slot, nothing does. Grandpa told Maya to count the slots. That count is called the odds, and one gold slot out of ten is one chance in ten. A boy named Kit spun three times. The first spin stopped on gold, so one coin brought six back. The next two spins were plain. Grandpa said that on average, ten spins cost ten coins and give back six, so the stall keeps the other four. Whoever runs a game like this is called the house. A short run can look different, but over many spins the coins drift toward the house's side, because odds decide the long run, not luck.
1
The wheel has 10 equal slots and 1 is gold. The odds of gold are 1 chance in .
2
Kit put in 3 coins in all. He got back more coins than he put in.
TrueFalse
3
On average, 10 spins put in 10 coins and give back 6. The stall keeps coins.
4
Look at the picture graph. After fifty spins, how many coins did the stall keep?
2 coins20 coins30 coins
5
Join the number of spins to the coins the stall keeps, on average.
  1. 110 spins
  2. 220 spins
  3. 350 spins
  4. 4100 spins
  • A4 coins
  • B40 coins
  • C8 coins
  • D20 coins
6
Number one spin of the Lucky Wheel in order.
  • Spin the wheel
  • Gold pays six coins, plain pays nothing
  • The pointer stops
  • Put in one coin

Think and fix

7
A second stall has 5 slots and 1 gold, and gold pays 4 coins. Five spins cost 5 coins. Does that stall keep coins?
No, the odds are better, so it losesYes, it keeps all 5 coinsYes, about 4 come back, so it keeps 1
8
Circle every true sentence about the house.
Over many turns the house winsMore spins make the stall keep lessThe house wins every single turnThe odds are set so the house keeps more than it pays outA game like this is a way to get money
9
Fix the mistake. Kit says: I won once, so the wheel will pay me again next spin. Is Kit right?
YesNo
10
A new wheel has 20 equal slots and 1 gold slot. The odds of gold are 1 chance in .
11
Stretch: the stall keeps 4 coins in every 10. At this pace, 200 spins keep coins.
12
Ask a grown-up what rules your place has about games with coins. Write one thing they say.
13
Draw the Lucky Wheel with ten slots. Color one slot gold.
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