Answer:
Step-by-step explanation:
From the given information,
Considering both cases when p = 0.5 and when p ≠ 0.5
the probability that the gambler will quit an overall winner is:
where ;
N.k = n and k = m
Hence, the probability changes to:
is p ≠ 0.5 and k/N = 
is P = 0.5
When you plug the equation into a graphing calculator the x-intercept is -5
Or you can set the equation equal to 0 and solve for x.
F(-5) x g(-5)
f(-5) = -2(-5) - 7
f(-5) = 10 - 7
f(-5) = 3
g(-5) = -4(-5) + 3
g(-5) = 20 + 3
g(-5) = 23
f(-5) x g(-5) = 3 x 23 = 69
Your answer is 69
