# Resources tagged with: Combining probabilities

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### There are 17 results

Broad Topics > Probability > Combining probabilities

### Fixing the Odds

##### Age 14 to 16Challenge 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. . . .

### At Least One...

##### Age 11 to 14Challenge 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 16Challenge Level

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

### Win or Lose?

##### Age 14 to 16Challenge 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. . . .

### Gambling at Monte Carlo

##### Age 14 to 16Challenge Level

A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?

### Taking Chances

##### Age 11 to 14Challenge 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.

### Marbles and Bags

##### Age 14 to 16Challenge 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?

### Odd Dice

##### Age 14 to 16 ShortChallenge Level

These strange dice are rolled. What is the probability that the sum obtained is an odd number?

### The Better Choice

##### Age 14 to 16Challenge Level

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

##### Age 14 to 18Challenge 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?

### 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.

### Statins and Risk

##### Age 14 to 16Challenge Level

"Statins cut the risks of heart attacks and strokes by 40%"
Should the Professor take statins? Can you help him decide?

### Chance Combinations

##### Age 11 to 14Challenge Level

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

### How Risky Is My Diet?

##### Age 11 to 16Challenge Level

Newspapers said that eating a bacon sandwich every day raises the risk of bowel cancer by 20%. Should you be concerned?

### Do You Brush Your Teeth Every Day?

##### Age 14 to 18Challenge Level

How can we find out answers to questions like this if people often lie?

### Molecular Sequencer

##### Age 14 to 18Challenge Level

Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.

### Heavy Hydrocarbons

##### Age 14 to 18Challenge Level

Explore the distribution of molecular masses for various hydrocarbons