Question

a group of five students are selected from a class of 12 students. what is the probability that jack nd jill are both in the group

Answer 1

@satellite73 help?

Answer 2

This problem is sampling without replacement. The hypergeometric distribution applies. Shall I take you through it?

Answer 3

\[P(Jack + Jill)=\frac{\left(\begin{matrix}2 \\ 2\end{matrix}\right)\left(\begin{matrix}10 \\ 3\end{matrix}\right)}{\left(\begin{matrix}12 \\ 5\end{matrix}\right)}=\frac{\left(\begin{matrix}10 \\ 3\end{matrix}\right)}{\left(\begin{matrix}12 \\ 5\end{matrix}\right)}\]