Question 1160213
<br>
HHH<br>
HHT
HTH
TTH<br>
HTT
THT
TTH<br>
TTT<br>
a. Probabilities....<br>
0 tails: 1 way out of 8 total: P(0) = 1/8
1 tails: 3 ways out of 8 total: P(1) = 3/8
2 tails: 3 ways out of 8 total: P(2) = 3/8
3 tails: 1 way out of 8 total: P(3) = 1/8<br>
b. Expected payout<br>
{{{(1/8)*0+(3/8)*5+(3/8)*15+(1/8)*40 = 0+15/8+45/8+5 = 12.5}}}<br>
The expected winnings are $12.50.<br>