You have sent applications to two colleges If you are consid

You have sent applications to two colleges. If you are considering your
chances to be accepted to either college as 60%, and believe the results are
statistically independent, what is the probability that you\'ll be accepted to
at least one?

How will your answer change if you applied to 5 colleges?

Solution

So the probability that you\'ll be accepted to at least one is

P(be accepted to at least one) = 1-P(no accepted )

=1-(1-0.6)^2=0.84

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So the probability that you\'ll be accepted to at least one is

P(be accepted to at least one) = 1-P(no accepted )

=1-(1-0.6)^5 =0.98976