Question

Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a

president at random (there can be repeats) for their creative writing assignments.
What is the probability that at least one of the students select a president who died in office?
Round your answer to the nearest hundredth.

Answer 1

.98

Explanation:

1-(35/43)^18 im in stats too tehee

Answer 2

The probability that at least one of the students select a president who died in office is 0.97541 or 97.541%

Explanation:

Consider the provided information.

Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office.

Therefore,
`p=(8)/(43)`

If 8 out of 43 died in office then the number of president who didn't died in office is 43-8=35

`q=(35)/(43)`

Let X be the number of president who died in office.

The probability that at least one of the students select a president who died in office is:

`P(X\geq 1)=1-P(X=0)`

`P(X\geq 1)=1-^(18)C_0((8)/(43))^0((35)/(43))^(18)`

`P(X\geq 1)=1-((35)/(43))^(18)`

`P(X\geq 1)=1-0.02459`

`P(X\geq 1)=0.97541`

Hence, the probability that at least one of the students select a president who died in office is 0.97541 or 97.541%