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?

Answer 1

Outcomes:
HH
HT
TH
TT

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

Answer 2

3.75