You are walking on the street and notice a guy gambling with some other guys and you start to watch.
The game principle is pretty easy. There are 7 balls in a pouch and you have 3 balls to draw randomly. If two balls you choose consecutively are consecutive, you win, otherwise the gambler wins.
- You choose 1,4,3. You win because 4 and 3 are consecutive numbers
- You choose 4,5 consecutively and you win without drawing a third ball since 4 and 5 are already consecutive.
- You choose 1,7,2 in that order. You lose, because there are no consecutive numbers in succession.
Should you play this game or not in the long run?