Two cards are drawn at random from a standard deck of 52 cards. What is the probability that both cards are queens?
(4/52)(3/51) = 1/221
can you see why?
To find the probability of drawing two queens from a standard deck of 52 cards, we need to determine how many favorable outcomes there are (drawing two queens) and divide it by the total number of possible outcomes (drawing any two cards).
First, let's calculate the number of favorable outcomes. In a standard deck, there are 4 queens. So, when drawing the first card, the probability of drawing a queen is 4/52 since there are 4 queens out of 52 cards. After drawing the first queen, there are only 3 queens left in the deck out of 51 cards. Therefore, the probability of drawing a second queen is 3/51. To find the probability of both events occurring, we multiply these probabilities together:
(4/52) * (3/51) = 12/2652 = 1/221.
So, there is a 1/221 probability of drawing two queens from a standard deck of 52 cards.