The+Ice+cream+Problem

 I scream for ice cream //Our **Learning Intention** for this week is to use diagrams to help determine all possible outcomes, and to determine the probability of these outcomes on a scale of 0-1.//

//If you have been **successful in your learning** this week we will see:// //- Evidence that you have experimented with different diagram types to figure which will most efficiently show all outcomes.// //-Successfully used a tree diagram to determine the possibility of an event// //- Tasks completed so all possible outcomes have been identified.// //- Using decimals to show the probability of an event between 0-1.//



You work at an ice cream shop and decide to offer a double scoop special – customers can choose 2 scoops for the price of a single scoop cone. As all ice-cream connoisseurs know, it matters which flavour goes on top so customers may choose a strawberry-banana combo, a banana-strawberry combo or 2 scoops of the same flavour. Customers can have a waffle cone or a cup.

Work out the different combinations customers could order if they could choose from 2 cone types and two flavours

Can you create a diagram which shows all possible combinations?

What to wear?!

I've been slack with my washing. All I have left that is clean is:

- one pair of 3/4 length pants, 1 skirt and 1 pair of shorts

- a blue top, a pink shirt and a green shirt

- a cardigan, a scarf and a vest

I have plenty of everything else (shoes, socks etc)


 * How many different outfit combinations can I make? **

Use a tree diagram to work out all possible solutions.

Friday Questions Ext - what extra clothes would I need to wash to have 81 different combinations?

How many of the different combinations use the pink shirt?

How many outfits don't use a skirt?

How many combinations use both the scarf and the blue top?

*Is it possible to have an item that is in 50% of the outfits?

* Make up your own question here

* Make up your own question here

* Make up your own question here

*Finished? Can you create your own tree diagram for a different set of variables?

// Can you show your answer as both a proper fraction and a decimal? //