Using a probablity space allows us to clearly see all the possible outcomes that could occur when looking at events. For this example I will show you how to list all the possible outcomes of two events using a probability space, shown below:

The outcomes of tossing two fair coins.

 

Heads

Tails

Heads

HH

TH

Tails

HT

TT

As you can see above, a probability space allows us to visualise all the possible out comes and then further allows us to work out the probability of each occurence. From looking at my probability space I can conclude the following;

The probability of getting two heads (HH) = 1/4

The probability of getting a tails and a head (HT & TH) = 2/4 = 1/2

The probability of getting two tails (TT) = 1/4

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AQA Unit 1 March 2011 (F) - Page 6, Question 3

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