140 people are polled, 47 people are fond of football, 70 people are fond of tennis and 55 people are fond of gold. 10 people are fond of football only, 15 are fond of tennis only and eight are fond of golf only. Five people are fond of all 3 sports.
a) Determine probability that the randomly selected person likes exactly 2 sports.
b) Determine probability that randomly selected person likes no sports.