### Gambling at Monte Carlo

A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?

### Marbles and Bags

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?

### Coin Tossing Games

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?

# Thank Your Lucky Stars

##### Stage: 4 Challenge Level:

Start with the simple problem, where you need to flip the coin twice:

Which moves are possible?
Which moves lead you to the target?

List the possibilities.

Move to the harder problem whereyou need to flip the coin four times:

Which moves are possible?
Which moves lead you to the target?

List the possibilities.

Move to the hardest problem...