A bag initially contains one red and two blue balls. A trial consists of selecting a ball at random, noting its colour and replacing it together with an additional ball of the same colour. Three such trials are made. Let probability of event listed in column I is αβ, where α and β are coprime numbers. Match them with Column II Column IColumn II(I) Atleast one blue is drawn(P)β−α=1(I) Exactly one blue is drawn(Q)β−α=4(III) Probability that drawn balls(R)α+β=6are all red given that all drawnballs are same colour(IV) Atleast one red balls is drawn(S)βis even (T)βis odd Which of the following is only CORRECT combination?

A bag initially contains one red and two blue balls. A trial consists

1.	A bag initially contains one red and two blue balls. A trial consists of selecting a ball at random, noting its colour and replacing it together with an additional ball of the same colour. Three such trials are made. Let probability of event listed in column I is αβ, where α and β are coprime numbers. Match them with Column II Column IColumn II(I) Atleast one blue is drawn(P)β−α=1(I) Exactly one blue is drawn(Q)β−α=4(III) Probability that drawn balls(R)α+β=6are all red given that all drawnballs are same colour(IV) Atleast one red balls is drawn(S)βis even (T)βis odd Which of the following is only CORRECT combination?
Answer» A bag initially contains one red and two blue balls. A trial consists of selecting a ball at random, noting its colour and replacing it together with an additional ball of the same colour. Three such trials are made. Let probability of event listed in column I is $\frac{α}{β}$ , where $α$ and $β$ are coprime numbers. Match them with Column II $\begin{matrix} Column I & Column II (I) Atleast one blue is drawn & (P) β - α = 1 (I) Exactly one blue is drawn & (Q) β - α = 4 (III) Probability that drawn balls & (R) α + β = 6 are all red given that all drawn balls are same colour (IV) Atleast one red balls is drawn & (S) β is even (T) β is odd \end{matrix}$ Which of the following is only CORRECT combination?