Resources tagged with: Combining probabilities

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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.