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#17
09-24-2017, 07:25 AM
 Monocracy Guest Join Date: Dec 2000 Posts: 515
The odds that all three contestants roll a dollar on their first spin(s) is 1 in 1079. This assumes that the first contestant will spin the wheel twice if (s)he doesn't hit a dollar on the first spin, which isn't realistic, because (s)he would stop if they spun a pretty high number.

Chance of NOT rolling a dollar on first spin: .95
Chance of NOT rolling a dollar on second spin: .95
Chance of NOT rolling a dollar on either spin: .95 x .95 = .9025
Chance of contestant rolling a dollar: 1 - .9025 = .0975

Chance of all three contestants rolling a dollar: .0975^3 = .000927
.000927 is 1 in 1079

Chance of NOT rolling a dollar on bonus spin: .95
Chance of all 3 contestants NOT rollling a dollar on their bonus spin: .95^3 = .857
Chance of at least one contestant rolling a dollar on bonus spin: 1 - .857 = .143

Chance of all three contestants rolling a dollar AND at least one contestant rolling a dollar on bonus spin: .000927 x .143 = .000132
.000132 is 1 in 7565

Chance of rolling a dollar on bonus spin: .05
Chance of all three contestants rolling a dollar on bonus spin: .05^3 = .000125

Chance of all three contestants rolling a dollar AND rolling a dollar on bonus spin: .000927 x .000125 = .000000116
.000000116 is 1 in 8.6 million

I don't know how to calculate 2 contestants rolling dollars on their bonus spins, but it's somewhere between 1 in 7265 and 1 in 8.6 million.

Note: Numbers have been rounded in text, but not in calculations.

Also remember, this event actually happened so the real odds of it happening are 100%. There are millions of "What are the odds?" events that can happen on a game like The Price Is Right, so if the game gets played as many times as it has, some unlikely events will occur. The real challenge is predicting a long odds event BEFORE it happens.

Last edited by Monocracy; 09-24-2017 at 07:25 AM.