February 4th, 2011 at 8:34:41 AM
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I was watching the Price is Right today and the game Punch a Bunch was being played. Here is a link to the game to read about it if you like:
http://www.priceisright.com/show/games/punch-a-bunch
Basically you guess if given price on a item is higher or lower in order to gain punches which behind them have dollar values. You can pain up to 4 punches through these items. My question is, assuming you have 4 punches, at what dollar value ought you stop at. Its a simple expected value question for the most part but its still tripping me up. Here is the breakdown of the dollar values, 50 total:
(1) $25,000 (1) $10,000
(3) $ 5,000 (5) $ 1,000
(10) $ 500 (10) $ 250
(10) $ 100 (10) $ 50
(4) Second Chance cards
The 4 second chance cards are really tripping me up as well. These are not separate cards but are written on 1 of each the 500, 250, 100 and 50 cards. If you draw one you immediately punch the board again and add that dollar amount with the other.
I started thinking about this after a women threw away a 1,000 card on the 2nd punch of 4. Most people usually just throw away until they get $1,000 or better, if they do at all. It ended up working out for her in that she hit the 50 Second Chance card on her final punch and then hit $1000 giving her a total of $1050.
Was this the correct play? And what amount should you keep if you have 1, 2 and 3 punches remaining
http://www.priceisright.com/show/games/punch-a-bunch
Basically you guess if given price on a item is higher or lower in order to gain punches which behind them have dollar values. You can pain up to 4 punches through these items. My question is, assuming you have 4 punches, at what dollar value ought you stop at. Its a simple expected value question for the most part but its still tripping me up. Here is the breakdown of the dollar values, 50 total:
(1) $25,000 (1) $10,000
(3) $ 5,000 (5) $ 1,000
(10) $ 500 (10) $ 250
(10) $ 100 (10) $ 50
(4) Second Chance cards
The 4 second chance cards are really tripping me up as well. These are not separate cards but are written on 1 of each the 500, 250, 100 and 50 cards. If you draw one you immediately punch the board again and add that dollar amount with the other.
I started thinking about this after a women threw away a 1,000 card on the 2nd punch of 4. Most people usually just throw away until they get $1,000 or better, if they do at all. It ended up working out for her in that she hit the 50 Second Chance card on her final punch and then hit $1000 giving her a total of $1050.
Was this the correct play? And what amount should you keep if you have 1, 2 and 3 punches remaining
February 4th, 2011 at 1:37:57 PM
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