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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

anonimnystefy
2012-08-23 09:17:07

Here is a simulation code in Pascal:

bobbym
2012-08-23 07:42:50

Hi Tino;

E(X) = 19 and E(Y)=16 so Bob earns 3 dollars every time they play the game.

Zach
2007-10-27 08:02:47

Probabiltiy wise: Bob has the advantage of Nick because his number is lower. They both have equal chance of getting their number each roll (1/6), but every roll, Bob has all the high numbers to get to add to his sum total.

Bob can get 1, 3, 4, 5 and 6. Nick gets 1, 2, 3, 4 and 6.

Tino
2007-10-27 07:48:55

Suppose Bob and Nick are playing a game. Bob rolls a die and continues to roll until he gets a 2. He keeps track of all the outcomes of the rolls. He calls the sum of the outcomes of the rolls X. Nick does the same thing as Bob, only he keeps rolling until he gets a 5 and he calls the sum of the outcomes of his rolls Y. At the end of the game, Bob pays Nick Y dollars and Nick pays Bob X dollars. Does one of the boys have an advantage over the other? Which one?

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