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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?
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?
Win or Lose?
A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has he more money than he started with?
Age 14 to 16
Challenge Level
Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags (it is not known from which bag). The marble is blue. What is the probability that it was removed from bag A?
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Bag A 2 RED 3 BLUE |
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Bag B 3 RED 4 BLUE |
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NRICH is part of the family of activities in the Millennium Mathematics Project.