Other tags that relate to X-dice
Experimental probability. Probability. Equally likely outcomes. Tree diagrams. Theoretical probability. Spreadsheets. Mathematical modelling. Biology. Combining probabilities. Conditional probability.There are 20 results
Broad Topics > Probability > Combining probabilities
Fixing the Odds
Age 14 to 16
Challenge Level
You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two. . . .
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?
The Better Choice
Age 14 to 16
Challenge Level
Here are two games you can play. Which offers the better chance of winning?
Snooker
Age 16 to 18
Challenge Level
A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
Odd Dice
Age 14 to 16 Short
Challenge Level
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
Gambling at Monte Carlo
Age 14 to 16
Challenge Level
A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
Win or Lose?
Age 14 to 16
Challenge Level
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. . . .
Taking Chances Extended
Age 14 to 18
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
Marbles and Bags
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. The marble is blue. What is the probability that it was removed from bag A?
Squash
Age 16 to 18
Challenge Level
If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
How Risky Is My Diet?
Age 11 to 16
Challenge Level
Newspapers said that eating a bacon sandwich every day raises the risk of bowel cancer by 20%. Should you be concerned?
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?
Statins and Risk
Age 14 to 16
Challenge Level
"Statins cut the risks of heart attacks and strokes by 40%"
Should the Professor take statins? Can you help him decide?
Dicey Decisions
Age 16 to 18
Challenge Level
Can you devise a fair scoring system when dice land edge-up or corner-up?
Voting Paradox
Age 14 to 18
Challenge Level
Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?
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?
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?
Heavy Hydrocarbons
Age 14 to 18
Challenge Level
Explore the distribution of molecular masses for various hydrocarbons
Do You Brush Your Teeth Every Day?
Age 14 to 18
Challenge Level
How can we find out answers to questions like this if people often lie?
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.