Odds on what just happened on The Price is Right?

For anyone unaware of the rules:

You have 2 tries to get 100 total. If you get 100 on the first spin you stop. The wheel has slots in increments of 5 from 5 to 100. (So 20 slots.) (I don't think it matters but here is the sequence: 5¢, $1.00, 15¢, 80¢, 35¢, 60¢, 20¢, 40¢, 75¢, 55¢, 95¢, 50¢, 85¢, 30¢, 65¢, 10¢, 45¢, 70¢, 25¢, 90¢.)


Here is what happened today on the second spin the wheel segment:

First person got 100 in 2 spins. ($10,000)

Second person got 100 in 1 spin. ($10,000)

Third person got 100 in 1 spin. ($10,000)

(They now all get 1 more spin for more money.)

First person gets 100 in 1 spin. ($25,000 bonus for a total of $35,000)

Second person got 100 in 1 spin. ($25,000 bonus for a total of $35,000)

$80,000 given away in a matter of minutes.

(And just in case you are wondering, the Third person damn near got 100 in their extra spin away. They were 1 slot width away.)

What are the odds of 5 people in a row getting 100 if the first 3 get 2 spins to total 100 and the last 2 only get 1 spin?

(Even though 2 of the first 3 didn't need their second spin we have to follow the actual rules of the game to find the exact odds of this happening again.)

I'm not sure about that one exactly.

Bonus question. What are the odds that 4 people in a row land on 100 in 1 spin?

(I suppose this one is 1/20 times 1/20 times 1/20 times 1/20.) Which is .0000062 or 1/160000. That is, this would statistically happen once every 80,000 episodes. (Because this game occurs twice per episode you divide the 160,000 by two.)

There have been over 8,000 episodes of this game show. So that isn't really that crazy. :D



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