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. . . .
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.
A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
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. . . .
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?
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?
Here are two games you can play. Which offers the better chance of winning?
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
"Statins cut the risks of heart attacks and strokes by 40%"
Should the Professor take statins? Can you help him decide?
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
Newspapers said that eating a bacon sandwich every day raises the risk of bowel cancer by 20%. Should you be concerned?
Can you design a bingo board that gives you the best chance of winning?
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?
How can we find out answers to questions like this if people often lie?
Explore the distribution of molecular masses for various hydrocarbons
Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.