Riddles and Puzzles

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jhawk

Veteran
I've got a puzzle for y'all: How in the feck do you get this:

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IN THE MIDDLE OF BLOODY MARCH!
 
OP
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classic33

classic33

Leg End Member
I think I said that the whole thing depends on the assumption that the warden can be trusted. I've seen enough prison films to know that this isn't always the case, but there we go.
For this we'll make the assumption he can be trusted! I've seen the Shawshank Redemption.
 

nickyboy

Norven Mankey
A Bet On The Side
Mr. Gamble and Mr. Prude went to the CycleChat Casino, which offered the following game:

A customer bets on a number on a die (1 through 6). The dealer rolls a single die. If the customer’s number comes up, he is paid 4 times his bet, if not - customer loses his bet.
Without delay, Mr. G makes his mind to play 5 rounds betting £1 on number “1” each time. Mr. P, believing the game is in favor of the house offers a side bet, whereby if after 5 rolls Mr. G ends up behind he must pay £5 to Mr. P, otherwise Mr. P pays £5 to Mr. G.
After 5 rounds, what is the average payoff to:
1) CycleChat Casino?
2) Mr. Gamble?
3) Mr. Prude?

Results may be rounded to the nearest penny.

G has a 1/6 chance per roll that his number will come up. So over a sequence of 5 rolls his chance is, on average, 5/6. He stands to win £4 so his average win would be 5/6 x £4 = £3.33
This means he loses his bet with P and thus he must also pay P £5
So P finishes with £5.00
G Finishes with £-6.67 (having gambled 5 x £1.00, paid P £5.00 and won £3.33)
CCC finishes with £1.67 (having received 5 x £1.00 and paid out £3.33)
 
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classic33

classic33

Leg End Member
G has a 1/6 chance per roll that his number will come up. So over a sequence of 5 rolls his chance is, on average, 5/6. He stands to win £4 so his average win would be 5/6 x £4 = £3.33
This means he loses his bet with P and thus he must also pay P £5
So P finishes with £5.00
G Finishes with £-6.67 (having gambled 5 x £1.00, paid P £5.00 and won £3.33)
CCC finishes with £1.67 (having received 5 x £1.00 and paid out £3.33)
Nope.
 

Nihal

Veteran
Somewhat,but they all depend on atleast one person being allowed in continuously,which may not happen because the warden may or may not allow them in more than once.So no.
And No.

I've got some idea about the Bet question,i'll see if i can figure it out by evening.
 
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classic33

classic33

Leg End Member
Somewhat,but they all depend on atleast one person being allowed in continuously,which may not happen because the warden may or may not allow them in more than once.So no.
And No.

I've got some idea about the Bet question,i'll see if i can figure it out by evening.
Okay.
 

Rasmus

Without a clever title
Location
Bristol
A Bet On The Side
Mr. Gamble and Mr. Prude went to the CycleChat Casino, which offered the following game:

A customer bets on a number on a die (1 through 6). The dealer rolls a single die. If the customer’s number comes up, he is paid 4 times his bet, if not - customer loses his bet.
Without delay, Mr. G makes his mind to play 5 rounds betting £1 on number “1” each time. Mr. P, believing the game is in favor of the house offers a side bet, whereby if after 5 rolls Mr. G ends up behind he must pay £5 to Mr. P, otherwise Mr. P pays £5 to Mr. G.
After 5 rounds, what is the average payoff to:
1) CycleChat Casino?
2) Mr. Gamble?
3) Mr. Prude?

Results may be rounded to the nearest penny.

Stats was never my strong suit, but I'll give it a shot.

Side bets pays off in case of 2 or more 1's

#1's chance Mr G Mr P CC
0 1*5^5/6^5 -10 5 5
1 5*5^4/6^5 -6 5 1
2 10*5^3/6^5 8 -5 -3
3 10*5^2/6^5 12 -5 -7
4 5*5^1/6^5 16 -5 -11
5 1*5^0/6^5 20 -5 -15

Which gives average payouts to

1) Casino +£1.67
2) Mr Gamble -£4.70
3) Mr Prude +£3.04
 
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