2. This exercise concerns computing answers to the problem of points using the approach that Fermat took in the letter from Pascal to Fermat. I am playing a game with a friend; we are flipping a coin until one of us wins 6 times. For simplicity, assume that I always call heads and my friend always call tails. We get bored and want to split the stakes fairly when I have won twice, and he has won four times. Now, a) How would Pacioli split the stakes in this situation? b) How would Forestani split the stakes in this situation? c) Draw out a table like Pascal did with the appropriate number of rows and columns of a's and b's (as shown on page 29 of our book). Write 1 or 2 under each column depending on whether heads (I win write 1) or tails (my friend, write 2). Finally, state the proportion of the stakes that I should receive and the proportion of the stakes that my friend should receive when we stop