What is the probability of drawing a red card and then drawing a spade without replacing the card that was drawn first

Question

What is the probability of drawing a red card and then drawing a spade without replacing the card that was drawn first

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Madeline 8 mins 2021-10-13T05:47:31+00:00 1 Answer 0

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    2021-10-13T05:48:37+00:00

    Answer:

    13/102

    Step-by-step explanation:

    There are 52 cards in a standard deck (not including the jokers).

    So let’s start with the first thing… the red part. Half the deck is red which means 52/2=26 cards are red.

    So the probability of the red being drawn is 26/52 (I’m going to keep it an un-reduced form for now)

    So now since it says we don’t replace (we don’t put the card back into the deck), there is only 51 cards to choose from now. ¬†There are 4 suits so there are 13 of each kind of suit. So to draw a spade, the probability would be 13/51.

    So the end: The probability of drawing a red then a spade without replacing is the multiplication of these probabilities I found:

    So the answer is 26/52  * 13/51=13/102

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