The utility from rs 100 is u(100) =10*100^1/2=100
and the utility from lottery is u(400*p+49*(1-p))
=p*u(400)+(1-p)*u(49)
=p*10*400^1/2+ (1-p)*10*49^1/2
= p*200+(1-p)*70
the person will buy lottery only if expected utility from lottery > utility from rs 100
p>100
p*200+(1-p)*70>30
P>3/13=51/221
Akshay Jain
Masters in Economics
Delhi School of Economics
2013-15