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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Trick or Treat

## Trick or Treat

### Why do this problem?

### Possible approach

### Key questions

### Possible extension

## You may also like

### Roll These Dice

### Bipin's Choice

### A Bit of a Dicey Problem

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Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats.

There were 9 mice, 5 frogs and 4 worms.
Trixie was allowed to dip into the cauldron for a treat but had to do it without peeping. What treat is Trixie most likely to pick out? |

Trixie wanted to be certain of pulling out at least one of each type of the treats. How many times would Trixie need to be able to dip into the cauldron to do this?

If Trixie had pulled out a mouse, would her brother Nick be more likely to pick out a mouse too, or a frog or worm instead?

This activity can be used as a nice straightforward introduction to probability.

This can be done practically with a large group with a box containing items to represent those in the challenge.

Why have you decided on this?

Change the figures and suggest variations, for example when items are taken out they could then be replaced before the next selection.

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?

When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?