Question

a jar contains five black buttons and three brown buttons. if 5 buttons are picked at random, what is the probability that all of them are blacka jar contains five black buttons the three Brown buttons If 5 buttons are picked at random what is the probability that all of them are black

Answer 1

Determine the total number of buttons in the jar.

$\begin{gathered} T=5+3 \\ =8 \end{gathered}$

Determine the probability for the 5 selected buttons are black.

$\begin{gathered} P(x=5)=\frac{^5C_5}{^8C_5} \\ =\frac{1}{56} \end{gathered}$

So answer is 1/56.