A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains 8 tags, numbered 20 through 27, with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?

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The expected value is equal to the mean of a data set.

$$ \mu_1 = \frac{1+10}{2} = 5.5$$ $$ \mu_2 = \frac{20+27}{2} = 23.5 $$ $$ \mu_1+\mu_2 = 5.5 + 23.5 = 29.0 $$