Search by Topic

Resources tagged with Combining probabilities similar to Gambling at Monte Carlo:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 18 results

Broad Topics > Probability > Combining probabilities

problem icon

Gambling at Monte Carlo

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

problem icon

At Least One...

Stage: 3 and 4 Challenge Level: Challenge Level:1

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?

problem icon

Marbles and Bags

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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?

problem icon

The Better Bet

Stage: 4 Challenge Level: Challenge Level:1

Here are two games you have to pay to play. Which is the better bet?

problem icon

How Risky Is a Bacon Sandwich?

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Statins and Risk

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Voting Paradox

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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?

problem icon

Taking Chances Extended

Stage: 4 and 5

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.

problem icon

Same Number!

Stage: 4 Challenge Level: Challenge Level:1

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

problem icon

Win or Lose?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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. . . .

problem icon

Chance Combinations

Stage: 3 Challenge Level: Challenge Level:1

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

problem icon

Taking Chances

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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.

problem icon

The Lady or the Lions

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

The King showed the Princess a map of the maze and the Princess was allowed to decide which room she would wait in. She was not allowed to send a copy to her lover who would have to guess which path. . . .

problem icon

Lottery Simulator

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.

problem icon

Heavy Hydrocarbons

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the distribution of molecular masses for various hydrocarbons

problem icon

Fixing the Odds

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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. . . .

problem icon

Molecular Sequencer

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Card Game (a Simple Version of Clock Patience)

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over... You win if all your cards end up in the trays before you run out of cards in. . . .