Multiple choice

Four cards are drawn from a pack of 52 playing cards. What is the probability of getting two red cards and two black cards?

  1. 99 / 54145

  2. 333 / 725

  3. 325 / 833

  4. 375 / 453
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total ways to choose 4 cards = 52C4 = 270725. Ways to choose 2 red and 2 black = 26C2 * 26C2 = 325 * 325 = 105625. Probability = 105625 / 270725 = 325 / 833.

AI explanation

The total number of ways to draw four cards from a deck of 52 is given by the combinations formula 52C4, which equals 270725. The number of ways to choose two red cards from 26 is 26C2, which is 325, and the number of ways to choose two black cards from 26 is also 325, yielding 105625 favorable combinations. Dividing the favorable outcomes by the total outcomes gives 105625 divided by 270725, which simplifies to 325/833.

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