  # Use Theoretical Probability

In this worksheet, students practise finding theoretical probabilities. Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Probability

Curriculum subtopic:   Probability Basic Probability and Experiments

Difficulty level:   #### Worksheet Overview

We have previously looked at finding probabilities for equally likely events

P(event) =
 Favourable outcomes Total outcomes

We need to look at a few things surrounding this.

Bias: Equally likely outcomes is built around the fact that events have an equal chance of happening, we call this fair (A fair coin, a fair dice).

The opposite of this is Biased. A biased dice, for example, could be weighted so that one number has a better chance of coming down on a certain number.

Random: for probability to work, the event has to be random. For example, if you had a box with coloured balls in and picked one while looking at it, this isn't random. If you did it without looking, this would be random

Expectation: If I flipped a coin, the chance I would get a head is 1/2. But what does this actually mean? It means I would expect to get 1 out of every two as a head, so if I flipped a coin 100 times, I should get 1/2 x 100 = 50 heads.

In reality, I might not, I may get 40 heads and 60 tails. We will discuss this further in the lesson Experimental probability.

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