So, Cody being a high-roller, is invited by Bellagio to participate in their complementary Jackpot game. The rules are simple-- Pick a card of black color (Spade or Clubs) out of a single deck of playing cards (with 1 Joker, so total 53 cards) and win a Million Dollars.

Now, Cody went ahead and picked his card and gave it to the host (Cody CANNOT see the card he picked until the results are announced). Now comes the interesting part -- From the remaining deck of cards (52 cards), the host removed the joker out of it, and she gave Cody a choice -- If he wants, pick up another card from the same deck (remaining 51) and swap it with the current pick.

Cody is confused -- Do he needs to stick with his choice, or go for the swap?? Which gives better chance to hit the Million jackpot? Can you help?

(This is somewhat similar to the 3-door game with a Car and 2 goats. However, the odds are different.)

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So, Cody being a high-roller, is invited by Bellagio to participate in their complementary Jackpot game. The rules are simple-- Pick a card of black color (Spade or Clubs) out of a single deck of playing cards (with 1 Joker, so total 53 cards) and win a Million Dollars.

Now, Cody went ahead and picked his card and gave it to the host (Cody CANNOT see the card he picked until the results are announced). Now comes the interesting part -- From the remaining deck of cards (52 cards), the host removed the joker out of it, and she gave Cody a choice -- If he wants, pick up another card from the same deck (remaining 51) and swap it with the current pick.

Cody is confused -- Do he needs to stick with his choice, or go for the swap?? Which gives better chance to hit the Million jackpot? Can you help?

(This is somewhat similar to the 3-door game with a Car and 2 goats. However, the odds are different.)

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