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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.

AWhat is the probability that he is accepted to one of the two schools?
BWhat is the probability that he does not get accepted at either school?

Verified Answer :

MissPhiladelphia

 

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

 

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