|
G sit soft : P(G arrive last)=1/3 P(G sit soft) = P(NOT G arrive last) = 1- P(G arrive last) = 1-(1/3) = 2/3
D sit soft : P(DR arrive last) = 1-P(G arrive last)-P(S arrive last)= 1- (1/3) – (1/3) = 1/3 P(D arrive last)=P(DR arrive last) * P(D fail the coin flip)=(1/3)(1/2) P(D sit soft) = P(NOT D arrive last) = 1- P(D arrive last)=1- 1/6 = 5/6
result :
[P(D sit soft) - P(G sit soft)]/ P(G sit soft) = (5/6 – 2/3) /(2/3) = 1/4 = 25% |