probability

q9
Lot A consists of 3G and 2D articles. Lot B consists of 4G and 1D article A new lot C is formed by taking 3
articles from A and 2 from B. The probability that an article chosen at random from C is defective, is
A)1/3
(B) 2/5
(C) 8/25
(D)none
ans c


@SanketBiradar
i think there will be more cases
for example in 4G 1D
3G from first and 1G 1D from 2nd should also be counted
right?

@NishantThakre
Yes

@SanketBiradar
there will be so many cases
right?
any other way to solve?

@NishantThakre
Only 6 cases3c1×2c1