PROBLEM 1. A college library has five copies of a certain textbook. Two copies (

Question

PROBLEM 1. A college library has five copies of a certain textbook. Two copies (1 and 2) are first printings, and the other three (3, 4, and 5) are second printings. A student examines these textbooks in random order, stopping only when he finds a second printing (for example, one possible outcome is 5, another is 213, etc.). Answer the following questions a. List all possible outcomes (S) Answer: b. Let A={exactly one textbook must be examined). List all outcomes in A. Answer: c. Let B only textbook 5 is the one selected from second printings). List all outcomes in B Answer: d. Let C-textbook 1 is not examined). List all outcomes in C. Answer:

Explanation / Answer

a ) S : { 3 , 4 , 5 , ( 1 , 2 , 3 ) , ( 1 , 2 , 4) , ( 1 , 2 , 5 ) , ( 2 , 1 , 3 ) , ( 2 , 1 , 4 ) , ( 2 , 1 , 5 ) , (1 , 3 ) , ( 1 , 4) , ( 1 ,5 ) , ( 2 , 3 ) , ( 2 ,4 ) , ( 2 , 5 ) }  

b ) A : { 3 , 4 , 5 }

c ) B : { 5 , ( 1 , 5 ) , ( 2 , 5 ) }

d ) C : { 3 , 4 , 5 , ( 2 , 3 ) , ( 2 ,4 ) , ( 2 , 5 ) }  

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