Life is A Test 2: Test Harder (Quite A Bit Harder)

by Brony_of_Brody


The Answer 14

First of all, definitely don't go into the game thinking that the odds of you winning is 50%. Although the odds of you drawing the Ace from the bag certainly is 50:50, consider this: what are the odds of you pulling the Ace, with its back facing you?

If you pull out the Ace, and the front is facing you, you will inevitably have to put the card back in the bag and re-shuffle, so 50% of the time you draw it, it's going back in the bag. In comparison, the double-sided card has two backs, so no matter which side faces you, it will never be put back in the bag. Therefore, the possible outcomes are:

Back-Back: Flam's win
Back-Back: Flam's win
Back-Ace: Your win
Ace-Back: Re-shuffle

Since we're not counting re-shuffles, we eliminate that possibility to realise that we now have two scenarios where Flam wins, compared to your measly one. So the probability of you winning a single round is one in three. Multiply that over the course of ten games, and your odds of winning only come out to about 6%.

Doesn't sound like it's possible to win without cheating, does it? Well, if it isn't possible without cheating...no duh, you cheat.

But what's the best way to do it? When playing a pony who knows the game is rigged in their favour, a lot of straight wins will certainly tip him off. But there is way to limit suspicious activity to only four rounds.

The faster the game is going, the harder it'll be for Flam to catch on, and with only two rounds left, he's very unlikely to figure out the trick within that time.