Independent Events Example (1) :Marriage problem

Ambikesh wants to marry his girlfriend and his girlfriend has already told him that she will marry him only when each and every member of her family will like Ambikesh. Each member of his girlfriend's family thinks independently. There are four members of her family.

P(father likes Ambikesh) = 1/3

P(Mother likes Ambikesh) = 3/4

P( Brother likes Ambikesh ) = 1/6

P(Dog likes Ambikesh) = 2/5

What is the probability that  Ambikesh can marry his girlfriend?



This question is directly based on the formula of Independent events.

P(marriage)= (1/3) * (3/4) * (1/6)*(2/5)

                        =  1/60