+174 Three cards are chosen at random from a standard deck of cards, without replacement. What is the probability that the first card is hearts, the second card is spades, and the third card is also hearts?
+23246 The probability that the first card is a heart is 13/52.
The probability that the second card is a spade is 13/51. (only 51 cards remain)
The probability that the third card is another heart is 12/50. (only 50 cards remain, only 12 hearts remain)
Since these are independent events, the total probability is found by multiplying these three numbers together.
