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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?

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JeanaShupp

Answer:   0.2

Step-by-step 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 : [tex]P(F)=0.6[/tex]       [tex]P(S)=0.5[/tex]

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

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

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

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