## anonymous one year ago In a game you bet $1 and toss two coins. If two heads come up, you win a profit of$75 cents. If two tails come up, no one wins anything. Otherwise, you lose your dollar. What is your expected value of this game?

1. anonymous

two heads comes up $$\frac{1}{4}$$ of the time

2. anonymous

two tails comes up also $$\frac{1}{4}$$ of the time, and you get one head and one tail $$\frac{1}{2}$$ of the time

3. anonymous

expected winning is $75\times \frac{1}{4}-1\times \frac{1}{2}$