**"Tree diagrams"**

## UPPER SECONDARY S1 CONTINGENCY TABLES AND VENN DIAGRAMS

*By toni On 5 January, 2018 · Leave a Comment*

Practical people maths activities forming human Venn diagrams and contingency tables. Applications to real world problems.

Click here to download a pdf with all you need to run your own professional development workshop.

## Grades 10 to 12 Epidemic

*By toni On 2 October, 2017 · Leave a Comment*

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 […]

## Grades 9 to 12 In the Bag

*By toni On 4 August, 2017 · Leave a Comment*

You have 2 different bags of marbles.

One bag has 3 Red and 2 Blue the other has 5 Red and 3 Blue.

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 […]

## Grades 10 to12 If This Then That

*By toni On 4 August, 2017 · Leave a Comment*

In front of you there are 20 envelopes.

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 […]

## Grades 8 to 10 At least one

*By toni On 12 November, 2016 · Leave a Comment*

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 […]

## Grades 9 to 12 Mathsland Lottery

*By toni On 11 August, 2016 · Leave a Comment*

In the Mathsland Lottery, 49 balls are numbered 1 to 49 and 6 balls are chosen at random without replacing any of the balls so that 6 different winning numbers are chosen.

Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]

## Grades 9 to 12 Lucky Numbers

*By toni On 11 August, 2016 · Leave a Comment*

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 […]

## Grades 5 to 12 In a Box

*By toni On 20 August, 2013 · 37 Comments*

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 […]

## Grades 10 to 12 Out in the Snow

*By toni On 15 August, 2013 · Leave a Comment*

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 […]

## Grade 9 to 12 – Two’s Company

*By toni On 19 March, 2012 · 2 Comments*

A container holds 4 yellow balls, 2 blue balls and a red ball. The balls are identical in all ways except colour. When you shake the container the balls settle into a hexagonal pattern as shown in the diagram.

You win if two blue balls touch.

How many different ways can […]

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