15 Numbered balls are placed in bowls A, B and C
In bowl A there are four balls numbered 1, 2, 3 and 7
In bowl B there are eight balls numbered \(0,0,2,3,5,6,8\) and 9
In bowl \(C\) there are nine balls numbered \(0,1,1,2,3,3,3,6\) and 7
This information is shown in the diagram below.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e3635007-2ad1-4b2a-b937-41fe90bb1111-20_416_530_716_227}
\captionsetup{labelformat=empty}
\caption{A}
\end{figure}
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e3635007-2ad1-4b2a-b937-41fe90bb1111-20_396_517_726_760}
\captionsetup{labelformat=empty}
\caption{B}
\end{figure}
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e3635007-2ad1-4b2a-b937-41fe90bb1111-20_401_519_721_1288}
\captionsetup{labelformat=empty}
\caption{C}
\end{figure}
A three-digit number is generated using the following method:
- a ball is selected at random from each bowl
- the first digit of the number is the ball drawn from bowl A
- the second digit of the number is the ball drawn from bowl B
- the third digit of the number is the ball drawn from bowl C
15
- Find the probability that the number generated is even.
15 - Find the probability that the number generated is 703
[2 marks]