Question

A bag containing 4 white and 5 black ball. A man draws
three at a random. What are the odds against these
being all black.What are the odds against these
being all black.

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{ From a bag containing 4 white and 5 black balls a man draws}\hspace{.33em}\\~\\
& \normalsize \text{ 3 at a random. What are the odds against these being }\hspace{.33em}\\~\\
& \normalsize \text{ all black ?}\hspace{.33em}\\~\\
& a.)\ \dfrac{5}{37} \hspace{.33em}\\~\\
& b.)\ \dfrac{37}{5} \hspace{.33em}\\~\\
& c.)\ \dfrac{11}{13} \hspace{.33em}\\~\\
& d.)\ \dfrac{13}{37} \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

Got it

\(\large \color{black}{\begin{align}
& \dfrac{1}{\dfrac{\dbinom{5}{3}}{\dbinom{9}{3}-\dbinom{5}{3}}} \hspace{.33em}\\~\\
\end{align}}\)