Question
If two pencils are picked at random, what is the
probability that one is blue and one is yellow? A box contains 6 red, 4 blue, 2 green and 4 yellow pencils.Solution
Total number of pencils = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 pencils out of 16 = 16C2 = `(16xx15)/(2xx1)` ` ` = 120 Let E= event of drawing two pencils so that one is blue and one is yellow n(E) = 4C1 X 4C1= 4 `xx` 4 = 16 [if gte msEquation 12]>
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