A college student is planning to apply for a school grant. A friend of hers who works for the company that is offering the grant has told her that if she takes calculus in her freshman year and gets an A or B, she will be very strongly considered for the grant, but if she gets a C, D or F, she will probably not be considered. If she doesn’t take calculus at all, she remains a candidate. She estimated the following probabilities:Probability of getting the grant if she takes calculus and gets A or B: 0.80Probability of getting the grant if she takes calculus and gets C or D: 0.10Probability of getting the grant if calculus not taken: 0.50Probability of getting A or B in calculus: 0.60a) What is the probability that she will get the grant if she takes calculus?b) What should she do to maximize the probability that she will get the grant?
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