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ARIEN3228
A jar consists of 21 sweets. 12 are green and 9 are blue. William picked two sweets at random. What is the probability that one sweet is blue and one sweet is green.

A)18/36
B)11/23
C)12/33
D)14/27
E) 18/35

There are two ways to obtain one blue candy and one green candy in two picks: either {blue, green} or {green, blue}. We’ll determine the probability of each and then sum the probabilities.

P(one blue and one green) is:

9/21 x 12/20 + 12/21 x 9/20

108/420 + 108/420

216/420 = 36/70 = 18/35

Answer: E
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