Of the 45 students enrolled in a statistics class last semester, 21 received a high grade and 24 used the recommended textbook. 10 of those who used the recommended textbook also received a high grade. Report answers accurate to 4 decimal places. What is the probability that a randomly selected student from the class:   a) did not use the recommended textbook? b) used the recommended textbook but did not receive a high grade? c) either used the recommended textbook or received a high grade? d) neither received a high grade nor used the recommended textbook?   If two students were selected from the class, one after the other and without replacement, what is the probability that:   a) the second student used the recommended textbook given the first student also did? b) the second student used the recommended textbook given the first did not? c) both students used the recommended textbook? d) only the second student received a high grade? e) only one of the two students received a high grade? f) none of the two students used the recommended textbook? g) at least one of the two students used the recommended textbook?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Of the 45 students enrolled in a statistics class last semester, 21 received a high grade and 24 used the recommended textbook. 10 of those who used the recommended textbook also received a high grade.

Report answers accurate to 4 decimal places.

What is the probability that a randomly selected student from the class:

 

a) did not use the recommended textbook?

b) used the recommended textbook but did not receive a high grade?

c) either used the recommended textbook or received a high grade?

d) neither received a high grade nor used the recommended textbook?

 

If two students were selected from the class, one after the other and without replacement, what is the probability that:

 

a) the second student used the recommended textbook given the first student also did?

b) the second student used the recommended textbook given the first did not?

c) both students used the recommended textbook?

d) only the second student received a high grade?

e) only one of the two students received a high grade?

f) none of the two students used the recommended textbook?

g) at least one of the two students used the recommended textbook?      

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