(1) The probability of getting a white ball for the first time and a red ball for the second time:

p 1=46×25=830。

(ii) Probability of taking out at least one red ball:

p2= 1-C34C36=45。

(iii) The possible value of ξ is 0. 1.2,

P(ξ=0)=C34C36= 15，

p(ξ= 1)= c 12c 24 c 36 = 35，

p(ξ= 2)= c22c 14c 36 = 15，

∴ξdistribution ranking is:? ξ? 0? 1? 2? p？ 15? 35? 15eξ= 0× 15+ 1×35+2× 15 = 1。