Let A denote the event that the next item checked out at a college library is a

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Let A denote the event that the next item checked out at a college library is a math book, and let B be the event that the next item checked out is a history book. Suppose that P(A) = .40 and P(B) = .50

Tou are logged in as Zlyad Lobalan Question 3 Are A and B independent events? Explain why or why not. Not yet answered Points out of 4.00 P Flag question what is the probability that the next book at this library is a math book or a history book? checked out Question 4 Not yet answered Answer: Points out of 3.00 P Flag question Question 5 What is the probability that the next item checked out at the library neither a math nor history book? is Not yet answered Answer: Points out of 3.00

Explanation / Answer

3.

History and Math books are different , and therefore, are getting them
is independent of each other.

P(A) = .40
P(B) = .50

4. P( that the next book checked out is math or history)
= .40 +.50 - P(A and B)
Since you cannot take out a book which is both history and math ( there doesn't exist a book like that), we have P( A and B) = 0,
= .90

5. P( next book is neither math or history) = 1-.40-.50 = .10

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