At a certain college, 30% of the students are from out of state. Find the probability that, if 8 students are randomly selected, 5 of them are from out of state.

Question

asked Jul 21, 2023 171k views

1 Answer

Daniel Evans · Answer 1 · 2023-07-27T14:05:00+0000

Percentage of students from out of state = 30%

If 8 students are selected, what is the probability that 5 are from out of state

The probability formula is given by:

$\text{ P(E)=}\frac{\text{ n(Required outcome)}}{\text{ n(Total outcome)}}$

Hence,

$\begin{gathered} P(5\text{ are from out of state, 30\%)=}(5)/(8)\text{ }*30\text{ \%} \\ =(5)/(8)*(30)/(100) \\ =(3)/(16) \end{gathered}$

Therefore, the probability that 5 of them are out of state is 3/16