Mathematical modelling and making real life connections is the focus of this guide. The use of tree diagrams in probability is developed starting with collecting data to model the numbers of boys and girls in families and the orders in which they occur. The connections between the underlying mathematics in these situatons, […]
Practical people maths activities forming human Venn diagrams and contingency tables. Applications to real world problems.
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Twenty per cent of the inhabitants of a city have been inoculated against a certain disease. An epidemic hits the city and the chance of infection amongst those inoculated is 10% but amongst the rest it is 75%.
Copy and fill in the contingency table and the Venn diagram below and use them to answer […]
Mzo picks one marble from each bag at random.
What is the probability he picks one of each colour? What is the probability he does NOT pick a […]
Eight of the envelopes each contain 5 blue and 3 red sheets of paper.
The other 12 envelopes each contain 6 blue and 2 red sheets of paper.
You choose one envelope at random. Then you choose a sheet of paper from it at […]
If Busi has 3 children what is the probability that at least one will be a girl?
Imagine tossing a coin three times.
What’s the probability you will get a head on at least one of the tosses?
Suppose you drew this tree diagram. How would it help you to find the answers to […]
Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]
In the Lucky Numbers Game 6 balls are numbered 1 to 6 and 3 balls are chosen at random without replacing any of the balls so that 3 different winning numbers are chosen.
When you play this game you get a ticket with 3 numbers written on it.
You win a prize if […]
Najwa and Zuki play a game.
They put two red and two blue ribbons in a box. They pull out two ribbons at the same time without looking at the colours.
Najwa wins if both ribbons are the same colour.
Zuki wins if the two ribbons are different colours.
Is this a fair […]
A motorist plans to drive to Cradock. Event X is that he arrives at his destination in less than 3 hours. He estimates that the probability of it snowing is 1/6 and the probability of event X if it snowed is 1/10.
What is the probability that it snows and he gets there in […]