can you please help with questions e, f, g, and h A college library has five cop

Question

can you please help with questions e, f, g, and h A college library has five copies of a certain text on reserve. Two copies (1 & 2) are first printings, and the other three (3, 4, & 5) are second printings. A student examines these books in random order, stopping only when a second printing has been selected. a) List the outcomes in the sample space. b) Let A denote the event that exactly one book must be examined. What outcomes are in A? c) Let B be the event that book 5 is examined. What outcomes are in B? d) Let C be the event that book 1 is not examined. What outcomes are in C? Now assume two copies are to be randomly selected to be placed on 2-hour reserve (this implies 10 equally likely outcomes). e) What is the probability that both selected copies are first printings? f) What is the probability that both selected copies are second printings? g) What is the probability that at least one selected copy is a first printing? h) What is the probability that the selected copies are different printings?

Explanation / Answer

e)probability that both selected copies are first printings =P(first one is first printing *second one from first printing)

=(2/5)*(1/4)=2/20=1/10

f) probability that both selected copies are second printings=P(first one is second printing *second one from second printing) =(3/5)*(2/4) =6/20=3/10

g) probability that at least one selected copy is a first printing=1-P(both copies from second)=1-(3/10) =7/10

h)probability that the selected copies are different printings =P(first printing *second printing+second printing *first printing) =(2/5)*(3/4)+(3/5)*(2/4)=12/20=6/10

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