Answer
The probability that the ball lands in slot 0 or slot 00 is\[\frac{1}{19}\].
Work Step by Step
The probability is calculated as
\[P\left( E \right)=\frac{N\left( E \right)}{N\left( S \right)}\]
The total numbers are 38, so \[P\left( E \right)=38\]
There is 1 slot with number 0so\[N\left( {{E}_{1}} \right)=1\]
The number of slots with number 00 is 1, so\[N\left( {{E}_{2}} \right)=1\]
Substitute the values in the above formula:
\[\begin{align}
& P\left( E \right)=\frac{N\left( {{E}_{1}} \right)+N\left( {{E}_{2}} \right)}{N\left( S \right)} \\
& =\frac{1+1}{38} \\
& =\frac{2}{38} \\
& =\frac{1}{19}
\end{align}\]
Hence, the required probability 0is \[\frac{1}{19}\].
