Question 1183861
I will go quickly over the details, and show the solution briefly.


You should be clever enough to see flow of the solution.


{{{P(bbb) = (2/5)*(5/8)*(2/5) = 1/10}}}

{{{P(bgb) = (2/5)*(3/8)*(1/5) = 3/100}}}

{{{P(gbb) = (3/5)*(4/8)*(3/5) = 9/50}}}

{{{P(ggb) = (3/5)*(4/8)*(3/5) = 9/50}}}


Therefore the probability of drawing blue from urn 1 the second time around is the sum of all preceding probabilities, or {{{highlight(49/100)}}}.