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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?
Age 14 to 16 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...
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.