Question

A junk drawer at home contains eight pens for of which work what is the probability that you randomly grab three pens from the drawer and don’t end up with a Penn that works express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answer 1

Given:

Total no of pens is 8.

No of pens that works =4

No of pens that don't work = 4

`\text{Probability }of\text{ selecting 3 pens }from\text{ the drawer=}(3)/(8)`
`\text{Probability of selecting }a\text{ pen thta don't work=}(4)/(8)`
`\begin{gathered} \text{Probability of getting 3 pens from a drawer }and\text{ don't} \\ \text{ end up with a pen }that\text{ work is } \end{gathered}`
`=(3)/(8)*(4)/(8)`
`=(3)/(16)`
`=0.1875`