The probability that the selected pencil is red is 1/5
The distribution of the pencils are given as:
Red = 3
Green = 4
Black = 2
Blue = 6
When a pencil is selected, the probability that the pencil is red is:
P(Red) = Red/Total
This gives
P(Red) = 3/(3 + 4 + 2 + 6)
Evaluate the sum
P(Red) = 3/15
Simplify the quotient
P(Red) = 1/5
Hence, the probability that the selected pencil is red is 1/5
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