In the casino card game blackjack, the dealer gets two cards, one of which you can see and one that is upside down. each player also gets two cards. when the dealer's visible card is an ace, she offers you to take out "insurance": you can bet $1 that the invisible card is a face card or a 10. if is is, you get $2, otherwise you lose your $1. let x denote your net winnings. it takes values + $1 or - $-1. what is the expected value of x if (a if we assume the dealer's other card was chosen from a second deck of 52?
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