- Two bags, \(\boldsymbol { X }\) and \(\boldsymbol { Y }\), each contain green marbles (G) and blue marbles (B) only.
- Bag \(\boldsymbol { X }\) contains 5 green marbles and 4 blue marbles
- Bag \(\boldsymbol { Y }\) contains 6 green marbles and 5 blue marbles
A marble is selected at random from bag \(\boldsymbol { X }\) and placed in bag \(\boldsymbol { Y }\)
A second marble is selected at random from bag \(\boldsymbol { X }\) and placed in bag \(\boldsymbol { Y }\)
A third marble is then selected, this time from bag \(\boldsymbol { Y }\)
- Use this information to complete the tree diagram shown on page 7
- Find the probability that the 2 marbles selected from bag \(\boldsymbol { X }\) are of different colours.
- Find the probability that all 3 marbles selected are the same colour.
Given that all three marbles selected are the same colour,
- find the probability that they are all green.
2nd Marble (from bag \(\boldsymbol { X }\) )
\section*{3rd Marble (from bag Y)}
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{1st Marble (from bag \(\boldsymbol { X }\) )}
\includegraphics[alt={},max width=\textwidth]{c316fa29-dedc-4890-bd82-31eb0bb819f9-07_1694_1312_484_310}
\end{figure}