SOLUTION: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary. What is the probability that (a) the dictionary is picked (b) 2 novels and 1

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Question 423266: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary. What is the probability that
(a) the dictionary is picked
(b) 2 novels and 1 book of poems are selected?
Thanks for the help!

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

no. of ways to select 3 books from 9 books = 9C3 = 84

a) no. of ways to select 1 dictionary and 2 other books =8C2* 1C1 = 28
required probability = 28/84
= 1/3
b) no. of ways to select 2 novels and 1 poem book = 5C2 * 3C1 = 10 * 3 = 30

required probability = 30/84
= 5/14