A PhD graduate has applied for a job with two universities, A and B. The graduate feels that she has a 60% chance of receiving an offer from university A, and a 30% chance of receiving an offer from university B. If she receives an offer from university B, she believes that she has an 70% chance of receiving an offer from university A. What is the probability that at least one university will make her an offer?

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A PhD graduate has applied for a job with two universities, A and B. The graduate feels that she has a 60% chance of receiving an offer from university A, and a 30% chance of receiving an offer from university B. If she receives an offer from university B, she believes that she has an 70% chance of receiving an offer from university A. What is the probability that at least one university will make her an offer?

a) 0.66.
 
b) 0.3.
 
c) 0.24.
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