# Probability and statistics

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In a game you flip a coin twice, and record the number of heads that occur. You get 10 points for 2 heads, zero points for 1 head, and 5 points for no heads. What is the expected value for the number of points you’ll win per turn?

• Probability and statistics -

Outcomes:
HH
HT
TH
TT

expected value = (1/4)(10) + (2/4)(1) + (1/4)(5)
= 17/4 = 4.25

• Probability and statistics -

3.75

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