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.

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) (Show Source): You can put this solution on YOUR website!
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
-
the numerator is 6C1*5C3=60, so the probability is 60/495=12/95
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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.

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.