3 A box contains 3 red balls and 5 blue balls. One ball is taken at random from the box and not replaced. A yellow ball is then put into the box. A second ball is now taken at random from the box.
- Complete the tree diagram to show all the outcomes and the probability for each branch.
First ball
Second ball
\includegraphics[max width=\textwidth, alt={}, center]{7dc85f33-2647-4f73-8093-524b70f99767-04_655_392_688_474}
\includegraphics[max width=\textwidth, alt={}, center]{7dc85f33-2647-4f73-8093-524b70f99767-04_785_387_703_1110} - Find the probability that the two balls taken are the same colour.
- Find the probability that the first ball taken is red, given that the second ball taken is blue.