can I get help with problem one Compute the probability of w

can I get help with problem one

Compute the probability of winning at the game of Craps (while betting with the roller, i.e., pass line). Show your work please do not parrot an on-line calculation rather put your probability knowledge to work and compute it in a way that makes sense to you. Please show your work clearly. Each round has two phases: \"come-out\" and \"point\". To start a round, the shooter makes a \"come-out\" roll. A come-out roll of 2, 3 or 12 is called \"craps\" or \"crapping out\", and anyone betting the Pass line loses. A come-out roll of 7 or 11 is a \"natural\", and the Pass line wins. The other possible numbers are the point numbers: 4, 5, 6, 8,9, and 10. If the shooter rolls one of these numbers on the come-out roll, this establishes the \"point\" - to \"pass\" or \"win\", the point number must be rolled again before a seven. Consider the following two dimensional PDF:

Solution