Theoretical probability

  • Mathsland National Lottery
    problem
    Favourite

    Mathsland National Lottery

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you work out the probability of winning the Mathsland National Lottery?

  • Which spinners?
    problem
    Favourite

    Which Spinners?

    Age
    14 to 18
    Challenge level
    1 out of 3

    Can you work out which spinners were used to generate the frequency charts?

  • Snooker Frames
    problem
    Favourite

    Snooker Frames

    Age
    16 to 18
    Challenge level
    1 out of 3

    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?

  • Teams
    problem
    Favourite

    Teams

    Age
    16 to 18
    Challenge level
    1 out of 3

    Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

  • Stats statements
    problem
    Favourite

    Stats Statements

    Age
    16 to 18
    Challenge level
    1 out of 3

    Are these statistical statements sometimes, always or never true? Or it is impossible to say?

  • Rain or Shine
    problem
    Favourite

    Rain or Shine

    Age
    16 to 18
    Challenge level
    2 out of 3

    Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

  • Knock-out
    problem
    Favourite

    Knock-Out

    Age
    16 to 18
    Challenge level
    2 out of 3

    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
    3 out of 3

    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?

  • Limiting Probabilities
    problem
    Favourite

    Limiting Probabilities

    Age
    16 to 18
    Challenge level
    3 out of 3

    Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.

  • FA Cup
    problem
    Favourite

    Fa Cup

    Age
    16 to 18
    Challenge level
    3 out of 3

    In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!