data management

In a simple card game, Player A wins a point if either a face card, a red prime number, or a black perfect square number is drawn from a standard deck. Otherwise, Player B wins a point. Assume aces do not count as 1s.

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  1. - There are 12 face cards (Jack, Queen, King in each suit)
    - There are 2 red 5’s (5♥, 5♦)T
    - There are 4 Black perfect squares (4♠, 4♣, 9♠, 9♣)

    ~ There are 18 ways for Player 1 to win.
    ~ There are 52 – 18 = 34 ways for Player 2 to win.

    Therefore, Player 2 has the advantage in this game.

    There are a number of ways to make the game fair. For example, Player 1 could win by drawing a 2 or a 7 (in addition to the other possibilities stated earlier.) This will add 8 more chances/cases for Player 1 to win and each player will have 26 ways to win.

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