Lucas is applying to both Stanford and Cal-poly. The probability that he gets accepted to Stanford is 0.4. The probability that he gets accepted to Cal-Poly is 0.3. The probability that he is accepted to both schools is 0.15.

a) What is the probability that he is accepted to one of the two schools?

b) What is the probability that he does not get accepted at either school?

Question

Cecelia Combs

Mathematics

Today, 12:01

Lucas is applying to both Stanford and Cal-poly. The probability that he gets accepted to Stanford is 0.4. The probability that he gets accepted to Cal-Poly is 0.3. The probability that he is accepted to both schools is 0.15.

a) What is the probability that he is accepted to one of the two schools?

b) What is the probability that he does not get accepted at either school?

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Answers (1)

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Sariah Briggs · Answer 1

a) What is the probability that he is accepted to one of the two schools

this means P (standford or cal-poly)

P (standford or cal-poly) = P (standford) + P (cal-poly) - P (standford and cal-poly)

= 0.4 + 0.3 - 0.15

= 0.55

What is the probability that he does not get accepted at either school?

Prob that he gets neither = 1 - 0.55 = 0.45