Experimental probability
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problemFlippin' discs
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
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problemTwo and one
Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red? -
problemThe twelve pointed star game
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
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problemYou never get a six
Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.
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problemTricky track
In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?
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problemThank your lucky stars
A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid? -
problemWin 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? -
problemCoin 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?