Probability

There are 124 NRICH Mathematical resources connected to Probability
396
problem

396

Age
14 to 16
Challenge level
filled star empty star empty star
The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.
Same or Different?
problem

Same or Different?

Age
7 to 11
Challenge level
filled star filled star empty star
Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.
A Bit of a Dicey problem
problem

A Bit of a Dicey problem

Age
7 to 11
Challenge level
filled star filled star filled star
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
Trick or Treat
problem

Trick or Treat

Age
7 to 11
Challenge level
filled star filled star empty star
Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?
Bipin's Choice
problem

Bipin's Choice

Age
7 to 11
Challenge level
filled star filled star empty star
Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?
Racing odds
problem

Racing odds

Age
11 to 14
Challenge level
filled star empty star empty star
In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?
Chances are
problem

Chances are

Age
14 to 16
Challenge level
filled star empty star empty star
Which of these games would you play to give yourself the best possible chance of winning a prize?
In a box
problem

In a box

Age
14 to 16
Challenge level
filled star filled star empty star
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Master Minding
problem

Master Minding

Age
11 to 14
Challenge level
filled star filled star empty star
Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
Thank your Lucky Stars
problem

Thank your Lucky Stars

Age
14 to 16
Challenge level
filled star filled star empty star
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?