When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.

Combinations

Maths

In this unit, pupils use their knowledge of calculating theoretical probabilities and extend this understanding to calculating conditional probabilities using all of the representations encountered in the prior unit.

Conditional probability

There are 4 children sat around one table and 8 children sat around another table. The teacher chooses 1 child from each table. In how many different ways could the teacher do this?

Here is a restaurant menu for three courses.  A customer can choose one starter, one main course and one dessert in {{ }} different ways.

The restaurant runs out of tiramisu.  A customer can choose one starter, one main course and one dessert in {{ }} different ways now. 

Alex has a pack of 5 cards. He deals one card to himself and deals one card to Sam. In how many different ways can this happen?

Izzy has a pack of 7 cards. She takes 2 cards at random from the pack. In how many different ways can this happen?

Alex draws 2 different cards from set A and 2 different cards from set B. There are {{ }} different ways of doing this. 

Two spinners are spun once each. The table shows the outcomes for each spinner. Match each value from the frequency tree to its value.

An investigation into some rhubarb plants aims to see if using a special fertiliser (F) increases the chance of the plant yielding rhubarb (R). The diagrams show the results. $$b$$ = {{}}.

An investigation into some rhubarb plants aims to see if using a special fertiliser (F) increases the chance of the plant yielding rhubarb (R). The diagrams show the results. $$c$$ = {{}}.

An investigation across 60 days explores whether days with rain (R) were more likely to see deer (D) in urban areas. The value of $$y$$ is {{}}.

An investigation across 60 days explores whether days with rain (R) were more likely to see deer (D) in urban areas. The value of $$z$$ is {{}}.

A game developer tested to see whether a playable character was more likely to win (W) with a rebalance (R) of the character’s stats or not.  P(R'W) = {{}}.

Starter Quiz