In a game, there are 12 identical balls of which seven are red and five are green.

Five red balls and two green balls have number ‘2’ written on them. The rest of the

red balls have number ‘1’ written on them, and the rest of the green balls have the

number ‘3’ written on them. A random sample of three balls is selected without

replacement. Let denotes the event that all the balls selected are red and

denotes that the sum of numbers of the three balls is equal to 6. Calculate:

(i) P(A) ,

(ii) P(B),

(iii)P ( A∩ B),

(iv)P(A|B).​