Question

A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Answer 1

ooh this one is tricky
any ideas?

Answer 2

no I wish

Answer 3

the probability that one person finds a job is \(.57\) so the probability that they do not find a job is \(1-.57=.43\)

Answer 4

the probability that NO ONE OF THE 9 finds a job is therefore \(.43^9\)

Answer 5

and so the probability that "at least one" finds a job, in other words "not no one" is
\[\large 1-.43^9\]

Answer 6

0.9994