Find the indicated probability. Round your answer to 6 decimal places when necessary.
-Two cards are selected without replacement from a standard deck of 52 cards. What is the probability that both cards are the same color (i.e.either both black or both red)?

Question

Quizplus · Accepted Answer

The probability of drawing two cards of the same color from a standard deck without replacement can be calculated by considering the two cases separately (both black or both red) and then adding those probabilities together. For the first card, the probability doesn't matter because any card can start the process. For the second card, however, the probability that it matches the color of the first card is 25/51 because one card of that color has already been removed (26 cards of the same color initially, minus the one drawn). So, the calculation is (26/52) * (25/51) for one color, and you double it to include both colors: 2 * (26/52) * (25/51) = 0.490196, which rounds to 0.490.

Find the Indicated Probability