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, Dor F, she will probably not be considered.
If she doesn’t take calculus at all, she will remain a candidate. She estimates the following probabilities:P(gets grant|A or B) = 0.80P(gets grant|C, D or F) = 0.10P(gets grant|not taken calculus) = 0.50P(A or B) = 0.60What is the probability that she will get the grant if she takes calculus? What should she do to maximize the probability that she will get the grant
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