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There are two decks of playing cards.

A card is drawn from the first deck and its colour-red (R) or black (B)-is noted
A card from the second deck is drawn and its suit- Hearts (H), Diamonds (D), Clubs (C) or spades (S) is noted.

A.) How may different combinations of colour and suit are possible?
B.)One possible combination is RED and Hearts. Write down all the other possible combinations
Write your answer like this: (R:H)
You must write all your answers on one line

2 Answers

1 vote

Final answer:

There are 8 different combinations of color and suit when drawing cards from two different decks. The possible combinations include (R:H), (R:D), (R:C), (R:S), (B:H), (B:D), (B:C), (B:S).

Step-by-step explanation:

The question asks about the possible combinations of color and suit when drawing cards from two different decks. Let's consider each deck separately:

For the first deck, there are two possible colors: red (R) and black (B).

For the second deck, there are four possible suits: Hearts (H), Diamonds (D), Clubs (C), and Spades (S).

To find the total number of combinations, we need to multiply the number of choices for each deck. So, there are 2 colors multiplied by 4 suits, giving us a total of 8 different combinations of color and suit.

Given that one possible combination is RED and Hearts (R:H), the other possible combinations are:

(R:D), (R:C), (R:S), (B:H), (B:D), (B:C), (B:S).

User Penderi
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A) (1 x 4) + (1 x 4) = 8

There are 8 possible combinations

B) RH:RD:RC:RS:BH:BD:BC:BS


Hope this helps and have a nice day!
User Sssilver
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5.5k points