# Probability and statistics

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There is an equally likely chance that a falling dart will land anywhere on the rug below. The following system is used to find the number of points the player wins. What is the expected value for the number of points
won?Black = 40
points
Gray = 20 points
White = 0 points

• Probability and statistics -

3 colours, so prob each colour = 1/3

expected number of points
= (1/3)(40) + (1/3)(20) + (1/3)(0)
= 20

• Probability and statistics -

What they said

• Probability and statistics -

24

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