Resources tagged with: Combining probabilities

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There are 17 results

Broad Topics > Probability > Combining probabilities

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?

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?

The Better Choice

Age 14 to 16
Challenge Level

Here are two games you can play. Which offers the better chance of winning?

At Least One...

Age 11 to 14
Challenge Level

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?

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?

Taking Chances

Age 11 to 14
Challenge Level

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.

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. . . .

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?

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. . . .

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?

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?

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.

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?

Chance Combinations

Age 11 to 14
Challenge Level

Can you design a bingo board that gives you the best chance of winning?

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?

Heavy Hydrocarbons

Age 14 to 18
Challenge Level

Explore the distribution of molecular masses for various hydrocarbons

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.