Answer:
a) it has been shown
b) P(lose) = 0.62, P(win) = 0.38
c) P(lose) = 0.83, P(win) = 0.17
d) P(lose) = 0.96, P(win) = 0.04
Explanation:
a) Since

Then by cross-multiplication,

So,

b) P(lose) = 8/(8+5) = 8/13 = 0.62
P(win) = 5/(8+5) = 5/13 = 0.38
c) P(lose) = 5/(5+1) = 5/6 = 0.83
P(win) = 1/(5+1) = 1/6 = 0.17
d) P(lose) = 26/(26+1) = 26/27 = 0.96
P(win) = 1/(26+1) = 1/27 = 0.04