Max# H in a Row: Probability: Expected # in 150: Max Bet: Max Winnings: 82 0.546666667 $2,560.00 140 ' Gambler's Ruin Winnings Increase by: Ruin? h.) h.) h.) h.) Compute the Max#H in a Row and use the 1st Law of Probability to compute to three decimal places the probability of flipping a fair coin and getting that many heads in a row (your formula should link to the Max # H in a Row cell). Finally, use this probability to compute the expected number of times you would get this many# H in a row in 150 flips. i.) Compute the Max Bet and Max Winnings formatted as currency with 2 decimal places. j.) By doubling your bet when you lose, you can guarantee that your winnings will always increase. Find a place where you go on a "losing streak", meaning you get a streak of H's in a row. Make note of your winnings before you start flipping the H's. Eventually you will flip a Tails and win your bet. This increases your winnings from before the losing streak started by how much? k.) So, if you can guarantee to increase your winnings, why is this called "gambler's ruin"? 1. Your max bet required might get larger than you can cover. 2. It would take too long to play the game 150 times