Combining probabilities
-
problemInvestigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer. -
problemSquash
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? -
problemHow Risky Is My Diet?
Newspapers said that eating a bacon sandwich every day raises the risk of bowel cancer by 20%. Should you be concerned?
-
problemStatins and Risk
"Statins cut the risks of heart attacks and strokes by 40%"
Should the Professor take statins? Can you help him decide? -
problemOdd Dice
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
-
problemMarbles and Bags
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?
-
problemGambling at Monte Carlo
A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
-
problemFixing the Odds
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 bags so as to make the probability of choosing a red ball as small as possible and what will the probability be in that case?
-
problemVoting Paradox
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?
-
problemDo You Brush Your Teeth Every Day?
How can we find out answers to questions like this if people often lie?