Question 1172335
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A final year student after being interviewed at two companies, he assesses that his probability of getting an offer 
from company A is 0.8 and the probability that he gets offer from company B is 0.6. If, on the other hand he believes 
that the probability that he will get offers from both companies is 0.5. Obtain the probability that he will get 

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(i)    at least one offer from these two companies
(ii)   offer from neither company
(iii)  offer from company A only 
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<U>Solution</U>



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(i)   P = P(A) + P(B) - P(A and B) = 0.8 + 0.6 - 0.5 = 0.9.



(ii)  In this case, the probability is the COMPLEMENT to the probability which is just found  in (i)

       P' = 1 - P = 1 - 0.9 = 0.1.



(iii)  P = P(A) - P(A and B) = 0.8 - 0.5 = 0.3.
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