Answer:
probability that make risk neutral accepting project < [tex]\frac{1}{3}[/tex] or 33.33 %
Step-by-step explanation:
given data
income = $600 million
legal liability = ​$1,200 million
to find out
what is the theta such that it is indifferent between accepting and rejecting the​ contract
solution
we know here that risk neutral between accept and reject contract  θ value will be as that when net present value NPV of contract = 0
so
we can say NPV > 0
so ( 1- θ )  $600 Million + θ ( $1200 Million)  > 0
$600 Million > $1800 θ
θ < [tex]\frac{1}{3}[/tex] = 33.33 %
so probability that make risk neutral accepting project < [tex]\frac{1}{3}[/tex] or 33.33 %