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11. A graduating senior seeking a job has interviews with two companies. After the interviews, he estimates that his chance of getting an offer from the first company is 0.6. He thinks he has a 0.5 chance with the second company, and that the probability that at least one will reject him is 0.8. What is the probability that he gets at least one offer?

User No News
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Answer: 0.2

Explanation:

Let F denotes the event that graduate senior will get offer from the first company and S denotes the event that graduate senior will get offer from the second company .

Then, we have :
P(F)=0.6
P(S)=0.5

The probability that at least one will reject him ( neither first nor second ) =
P(F'\cap S')=0.8

Now,
P(F\cup S)=1-P(F'\cap S')=1-0.8=0.2

Hence, the probability that he gets at least one offer ( either first or second)= 0.2

User Antho Christen
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