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Here are two games that you might play:
You have a bag of 26 tiles, each with a different letter of the alphabet.
You choose a tile, write down the letter, and put it back in the bag.
Then you choose a second tile, write down the letter, and put it back in the bag.
Then you choose a third tile.
If the three letters came out in strictly ascending alphabetical order, you win. Otherwise, you lose.
You roll a 10-sided dice three times, writing down the number that is shown each time. If the three numbers are in strictly ascending numerical order, you win. Otherwise, you lose.
Which game offers you the best chance of winning?
A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?
You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?