SOLUTION: Suppose that 4 books are picked at random from a shelf containing 6 ​novels, 5 books of​ poems, and a dictionary. ​(a) Find the probability that the dictionary is selected.

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Question 1191431: Suppose that 4 books are picked at random from a shelf containing 6 ​novels, 5 books of​ poems, and a dictionary.
​(a) Find the probability that the dictionary is selected.
​(b) Find the probability that 1 novel and 3 books of poems are selected.
Answer by Boreal(15235) About Me  (Show Source):
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12C4 number of ways to pick 4 from 12
for a dictionary, the numerator is 11C3*1C1
The probability is 165/495 or 1/3
another way is probability= 1- not a dictionary, which is 1-(11/12)(10/11)(9/10)(8/9)=1-(8/12)=1/3
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the numerator is 6C1*5C3=60, so the probability is 60/495=12/95