You are challenged to a lucky draw game. If you draw a face card (K, Q, J) 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?

There are 12 face cards in a 52-card deck, so the chance of earning 10 points is 12/52. The other 40 cards give a loss of 2 points, so the expected value is (12/52 × 10) + (40/52 × −2) = 40/52 ≈ 0.77 points. The correct choice is A, 0.77.

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