I appreciate the help but your answer was wrong. here is the answer

Expected value is computed by multiplying all of the possible outcomes by their probabilities, and then summing. \(8/10\) of the time we draw a 2 and \(2/10\) of the time we draw a 4. Therefore the expected value is

\(2\cdot\frac{8}{10} + 4\cdot\frac{2}{10} = \frac{12}{5}.\)

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