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Mathematics 22 Online
OpenStudy (anonymous):

I have to make a carnival game for a probability project, any ideas? Every comment counts!

OpenStudy (alyssa_xo):

something involving a wheel spinning, probably

OpenStudy (anonymous):

Like a wheel of fortune? @alyssa_xo

OpenStudy (alyssa_xo):

kinda, but I can't remember which carnival game used that

OpenStudy (anonymous):

Hmm, I want it to be unique.

OpenStudy (alyssa_xo):

you can make it so that if you guess the toy, and it lands on it, you win the toy or maybe rolling a gigantic dice twice and you have to guess the sum

OpenStudy (anonymous):

That will be hard to find the probability of though. I have to find these of the game idea. a. Theoretical probability of winning the game, b. expenses, c. expected payoff, d. profit, e. rules of the game, f. prizes and how to earn the prizes, and g. why the game should be selected as a game for the carnival.

OpenStudy (alyssa_xo):

how is that hard? there's a constant probability assuming a closed system

OpenStudy (alyssa_xo):

do you have to make a physical game? if not, then a wheel with 6 choices will always land on 1/6

OpenStudy (anonymous):

Yeah so there is 6 choices on the wheel and 6 toys to choose from. @alyssa_xo

OpenStudy (alyssa_xo):

well that's a bad game, you're always going to lose you want to make money, put 3 or 4 toys and 2 nothing spots

OpenStudy (anonymous):

Well no, there will be 6 toys, and they choose one out of the 6. and they have to get that 1 on the wheel in order to win. If they win that toy they get to keep the toy?

OpenStudy (alyssa_xo):

ooh, that works too. I figured something like this|dw:1426290150662:dw|

OpenStudy (anonymous):

|dw:1426290206451:dw|

OpenStudy (anonymous):

Maybe spread the nothings around?

OpenStudy (alyssa_xo):

they're pretty spread out right now

OpenStudy (anonymous):

So which one should I use? Yours or mine?

OpenStudy (alyssa_xo):

oh yeah, I like yours better

OpenStudy (anonymous):

So the probabilty of winning is 1/6?

OpenStudy (alyssa_xo):

probability of winning = number of spins that can win/total chances there are 3 winning slots and 6 total

OpenStudy (anonymous):

So 3/6

OpenStudy (alyssa_xo):

yea. this is of course assuming that it's all random, meaning you can't call out what you want and have it land on it

OpenStudy (alyssa_xo):

for example if you call out bear, your chance of winning is 1/6

OpenStudy (alyssa_xo):

but if you just roll, you have 3/6 or 1/2 chance of winning

OpenStudy (anonymous):

How can we make it more complex then just spinning a wheel to win a prize?

OpenStudy (alyssa_xo):

idk, have you never been to a carnival? they're not really hard

OpenStudy (alyssa_xo):

do you mean like those games where it's impossible to win?

OpenStudy (anonymous):

They are very hard for me lol, thats why I hardly ever play them. And yes

OpenStudy (alyssa_xo):

lol, the only trick I have is those games where you have to put the ball in the hole or the ring on the peg, the really cheap carnivals will make it so that the balls are too big the decent carnivals will make it so that the dealer can get it in from above the line, but you have to shoot it from behind the line making it impossible the casinos will make it the hardest and just have the game set up against you

OpenStudy (alyssa_xo):

this is a school project, what you have is fine

OpenStudy (anonymous):

Okay sweet. So which one are we doing? A wheel of fortune to win a toy or you pick a toy and if it lands on it you win it? The cost for the first option is $3 and the cost for the second option (where you pick the toy ) is only $1 cause it's unlikely that they will win it.

OpenStudy (alyssa_xo):

yeah, I didn't realize it until you asked for the chances, it's better to make them guess it

OpenStudy (alyssa_xo):

the cost for you or the cost for the customer

OpenStudy (anonymous):

The cost for the customer.

OpenStudy (alyssa_xo):

how much do the toys cost?

OpenStudy (anonymous):

The cost of the toys are like 1-5 dollar correct?

OpenStudy (alyssa_xo):

I think 1 dollar keeps it simple. If the toy costs 1 dollar, and they pay 1 dollar, they have a 17% chance of winning even if you give them 2 or 3 spins for 1 dollar, they only have a 33.3% chance or a 66% chance

OpenStudy (alyssa_xo):

now there's our limitation, if we want profit, we should keep it under 50%

OpenStudy (alyssa_xo):

so give them 2 spins for 1 dollar, you're guaranteed money that way and they think they can win

OpenStudy (anonymous):

How did you get those calculations?

OpenStudy (alyssa_xo):

1/6 = 16.66666 2/6 = 33.33333 3/6 = 50

OpenStudy (anonymous):

Oh nice.

OpenStudy (anonymous):

So 2 out of 6. Okay. Let me write some info down now.

OpenStudy (anonymous):

So for A. it is 2/6 = .33? @alyssa_xo

OpenStudy (alyssa_xo):

yeah

OpenStudy (anonymous):

@alyssa_xo What does expected payoff mean?

OpenStudy (alyssa_xo):

I think it's how often and how much you expect to pay out

OpenStudy (alyssa_xo):

a. Theoretical probability of winning the game, 1/6 b. expenses, $1/toy c. expected payoff I'm not sure, I think it's $1/6 spins d. profit, $5/toy (they have to spin 6 times to win once, theoretically) e. rules of the game, call out a guess, spin the wheel f. prizes and how to earn the prizes, and 3 different 99 cent toys g. why the game should be selected as a game for the carnival. because it's a moneymakaaaaaaaaa

OpenStudy (anonymous):

Niceee Thanks!

OpenStudy (alyssa_xo):

wait why is g there are they actually gonna make your game if you win?

OpenStudy (anonymous):

Lol na

OpenStudy (alyssa_xo):

oh, then change my answer

OpenStudy (anonymous):

I will.

OpenStudy (alyssa_xo):

I can't reply to that message ideally, if you're going to pretend they have good odds, you could draw the colors so that the prizes bleed onto the "nothing"s

OpenStudy (alyssa_xo):

and give them 2 spins

OpenStudy (alyssa_xo):

by that I mean this|dw:1426292585426:dw| now the real prize ends where the line comes out of the circle, but it looks like it's bigger to the guy

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