take two cards from a deck without replacement. what is the probability of getting a red queen and then another red card

usagirl007A

usagirl007A

Answered question

2021-06-19

Take two cards from a deck without replacement. What is the probability of getting a red queen and then another red card?

Answer & Explanation

Malena

Malena

Skilled2021-06-20Added 83 answers

There are 2 red queens (hearts and diamonds) in a standard deck of cards, the probability of drawing a red queen is:
252=126
There isn't a replacement, so that leaves a total of 13+12=25 red cards out of the remaining 51 cards so the probability that the next crad drawn is a red card is:
2551
Therefore, the probability of getting a red queen and then another red card is the product of the probabilities:
1262551=251326

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