What fraction should go here

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Presentation transcript:

What fraction should go here 3 8 What fraction should go here

Why is this fraction 4 7 ?

A red marble has been removed 3 8

So now there are 7 marbles, 4 of which are red 3 8

What fraction should go here? Why? 3 7 What fraction should go here? Why? 3 8

This time, a green marble has been removed and not replaced 3 7 3 8

What should these two fractions be? 3 7 What should these two fractions be? Why? 3 8

What should these two fractions be? 3 7 What should these two fractions be? Why? 5 7 3 8 2 7

We can now answer questions using this tree diagram. 3 7 5 7 3 8 2 7

What is the probability of picking two red marbles? On your whiteboards: What is the probability of picking two red marbles? 5 8 × 4 7 3 7 5 7 3 8 2 7

What is the probability of picking two green marbles? On your whiteboards: What is the probability of picking two green marbles? 3 7 5 7 3 8 × 2 7 3 8 2 7

What is the probability of picking marbles of different colours? On your whiteboards: What is the probability of picking marbles of different colours? 3 7 5 8 × 3 7 5 7 3 8 2 7

What is the probability of picking marbles of different colours? On your whiteboards: What is the probability of picking marbles of different colours? But we can also have… 3 7 5 8 × 3 7 5 7 3 8 × 5 7 3 8 2 7