Make: More Electronics by Charles Platt
Author:Charles Platt
Language: eng
Format: epub, pdf
ISBN: 9781449344047
Publisher: Maker Media, Inc.
Published: 2014-09-01T04:00:00+00:00
The Payoff
The first player places the first coin. Let’s suppose he is lucky and hits the hot slot with that first bet. The only coin he can win is the one that he just played. So, he gets his coin back. He makes no profit at all!
If the first player was unsuccessful, the second player places a coin. If he wins, he gets his coin back, and he gets his opponent’s coin, so he doubles his money. Evidently, it’s infinitely more rewarding to win on the second turn than on the first.
But suppose the first two bets are both unsuccessful. Now it’s the first player’s turn again. If he hits the hot slot this time, he takes back the coin he just placed and the coin he placed in the first turn and the coin that his opponent placed in the second turn. So, he recovers two of his own coins, and one of his opponent’s coins. He makes a 50% profit on his total stake.
On the other hand, if no one wins during the first three turns, and the second player does win on the fourth turn, the second player picks up two of his own coins and two of the first player’s coins. Once again he doubles his money. In other words, he makes a 100% profit.
It’s definitely an advantage to be the second player! But if we average this out over a long series of games, how big an advantage will this be?
Figure 21-11 shows the outcome for every possible game. For instance, if a game ends with the first turn, Player 1 has placed one coin, which has hit the Hot Slot, so, he gets his coin back. His net winnings (additional to his stake) are 0. Player 2 hasn’t placed any coins, so his total stake is 0 and his winnings are 0.
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