Answer:
Step-by-step explanation:
52 cards....black kings, black jacks, and black aces are removed....so there are 2 black kings, 2 black jacks, and 2 black aces removed.....6 cards removed....leaving us with a total of (52 - 6) = 46 cards
in a standard 52 card deck, there are a total of 26 black cards and 26 red cards....but we have already removed 6 black cards....so we now have 26 red cards and 20 black cards
1. P(red card) = 26/46 reduces to 13/23
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so there are 13 diamond cards in a standard deck...but keep in mind of the cards that were removed....we have 46 cards to work with, not 52. so the cards that are not diamonds = (46 - 13) = 33
2. P (not a diamond) = 33/46
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there are 13 hearts in a regular deck.....but our deck contains 46 cards
3. P( a red heart) = 13/46
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clubs.....there are 13 clubs....but remember we took out 1 king club, i jack club and 1 ace club...so we have (13 - 3)= 10 clubs in a deck of 46 cards
4. P(a club) = 10/46 reduces to 5/23
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red face cards.....so there are a total of 26 red cards.....of those 26 red cards, there are 6 red face cards (2 red kings, 2 red queens, and 2 red jacks)...an ace is not a face card.
5. P (red face card) = 6 / 46 reduces to 3/23