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mr. bray prepares a list of 434343 us presidents, 888 of whom died in office. then 181818 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.

Respuesta :

There is a 0.97541 or 97.541% probability that at least one student will choose a president who passed away in office.

Take into account the details offered.

43 US presidents are listed by Mr. Bray, 8 of them passed away while in office.

Consequently, p= 8/43.

If 8 of the 43 presidents died while in office, then 43-8=35 presidents survived.

q= 35/43

Let X represent how many presidents have passed away while in office.

The probaility that at least one student will choose a president who passed away in office is:

P(X[tex]\geq[/tex]1 ) = 1 -P(X=0)

P(X[tex]\geq[/tex]1 ) = 1 -¹⁸c₀(8/43)⁰(35/43)¹⁸

By using  Combinations Formula,

By solving we get,

P(X[tex]\geq[/tex]1 ) = 0.97541

As a result, there is a 0.97541 or 97.541% chance that at least one student will choose a president who passed away in office.

Learn more about probability :

brainly.com/question/14210034

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