A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck

Question

A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random, without replacement. What is the probability of choosing one club and one spade?
A. 1/2
B. 13/204
C. 25/102
D. 13/102

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Ayla 2 weeks 2021-09-12T01:46:30+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T01:48:02+00:00

    Answer:

    Option B.

    Step-by-step explanation:

    There are 13 cards of club and 13 cards of spade in a standard deck of playing cards.

    Total cards in a deck of playing cards = 52

    The probability of choosing first card is club P₁ = \frac{13}{52}

    The probability of choosing second card is spade = P₂ = \frac{13}{51}

    Probability = P₁ × P₂

    =\frac{13}{52}\times\frac{13}{51}

    =\frac{169}{2652}

    =\frac{13}{204}

    The probability of choosing one club and one spade is \frac{13}{204}.

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