6 Box \(A\) contains 7 red balls and 1 blue ball. Box \(B\) contains 9 red balls and 5 blue balls. A ball is chosen at random from box \(A\) and placed in box \(B\). A ball is then chosen at random from box \(B\). The tree diagram below shows the possibilities for the colours of the balls chosen.
- Complete the tree diagram to show the probabilities.
Box \(A\)
\includegraphics[max width=\textwidth, alt={}, center]{f7c0e35d-1889-4e5b-b094-f467052a66cf-08_624_428_667_621}
\section*{Box \(B\)}
Red
Blue
Red
Blue - Find the probability that the two balls chosen are not the same colour.
- Find the probability that the ball chosen from box \(A\) is blue given that the ball chosen from box \(B\) is blue.