Answer to Question #219414 in Statistics and Probability for Khanya

Question

Probability that an office chosen randomly has two doors and three windows

Answer 1

$\begin{matrix} & Number \ of\ doors\\ Number\ of\ windows & \def\arraystretch{1.5} \begin{array}{c:c:c:c} & 1 & 2 & 3 \\ \hline 1 & 5 & 5 & 3 \\ \hdashline 2 & 1 & 1 & 2 \\ \hdashline 3 & 3 & 0 & 0 \\ \hdashline 4 & 7 & 3 & 0 \\ \hdashline \end{array} \end{matrix}$

Total number of offices is

$$5+5+3+1+1+2+3+0+0+7+3+0=30$$

Number of offices having two doors and three windows is .

Then the probability that an office chosen randomly has two doors and three windows is equal to zero.