# Probability question (two draws)

If I draw 2 balls from a bag which contains 2 pink, 3 blue and 4 orange balls, what's the probability that the first ball would be pink and the second blue - as a decimal? Thanks. :)

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Do you want to know the probability to get the second ball blue assuming the first one is pink or assuming that the first one can be of any colour? – Riccardo.Alestra Jul 3 '12 at 13:33
Hi. Assuming the first one is pink. Need the probability that both, the first one would be pink and the second blue. :) Thanks. – Joey Morani Jul 3 '12 at 13:36

@JoeyMorani: No, as I said, you multiply them. When you have to have two things happen, and the probabilities are independent (we have taken account of the pink ball removal), they are multiplied. It's like flipping a coin three times hoping for three heads. The chance is $(\frac 12)^3=\frac 18$ – Ross Millikan Jul 3 '12 at 13:42
The probability to pick up the first ball pink is $\frac{2}{9}$ that means 0.22. If you don't get the first ball blue, the probability to have the second ball blue is $\frac{3}{8}$ ($0.375$). If the first ball is blue, the probability to have the secon ball of the same colour is: $\frac{1}{4}$ ($0.25$). The probability to pick the first pink and the second blue is in the first case: $\frac{2}{9}\frac{3}{8}$, in the second: $\frac{2}{9}\frac{1}{4}$