What is the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw an

Question

What is the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced?
A) one over fifty one
B) one over fifty two
C) twelve over fifty one
D) thirteen over fifty two

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Answers ( No )

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    2021-09-09T16:32:59+00:00

    Answer: C) twelve over fifty one

    Step-by-step explanation:

    Formula for probability =\dfrac{\text{Favorable outcomes}}{\text{Total ouctomes}}

    We know that , a standard deck has 52 cards.

    Number of hearts = 13  

    If a heart was drawn on the first draw and not replaced, then the number of hearts left = 13-1=12          (favorable outcomes)

    The total number of cards left = 52-1=51     (total outcomes)

    Therefore, the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced would be :-

    \dfrac{\text{Number of hearts left}}{\text{Total cards left}}\\\\=\dfrac{12}{51}

    Hence, the correct answer is option C) twelve over fifty one

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