You are challenged to a lucky draw game. If you draw a face card open paren cap k comma cap q comma cap j close paren from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?

A standard deck has 12 face cards (four each of kings, queens, and jacks) and 40 other cards. The expected value is (12 × 10 + 40 × −2) ÷ 52 = 40 ÷ 52 ≈ 0.77 points. So the expected value is 0.77 points, choice A.

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