Combining probabilities

  • At least one...
    problem
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    At Least One...

    Age
    11 to 14
    Challenge level

    Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

  • The Better Choice
    problem
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    The Better Choice

    Age
    14 to 16
    Challenge level

    Here are two games you can play. Which offers the better chance of winning?

  • Same Number!
    problem
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    Same Number!

    Age
    14 to 16
    Challenge level

    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Snooker Frames
    problem
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    Snooker Frames

    Age
    16 to 18
    Challenge level

    It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

  • Knock-out
    problem
    Favourite

    Knock-Out

    Age
    16 to 18
    Challenge level

    Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?

  • Put Out
    problem
    Favourite

    Put Out

    Age
    16 to 18
    Challenge level

    After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?

  • Chance Combinations
    problem

    Chance Combinations

    Age
    11 to 14
    Challenge level
    Can you design a bingo board that gives you the best chance of winning?
  • Taking Chances
    problem

    Taking Chances

    Age
    11 to 14
    Challenge level
    This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.
  • Heavy hydrocarbons
    problem

    Heavy Hydrocarbons

    Age
    14 to 18
    Challenge level
    Explore the distribution of molecular masses for various hydrocarbons
  • Molecular sequencer
    problem

    Molecular Sequencer

    Age
    14 to 18
    Challenge level
    Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.
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