Write the word or phrase that best completes each statement or answers the question.
-You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
A)0.006
B)0.994
C)0.250
D)0.500

Question

Quizplus · Accepted Answer

The probability of drawing a two from a standard deck of 52 playing cards is 4/52, or 1/13. Since the first card is not replaced, the probability of drawing a ten as the second card is 4/51, since there are now only 51 cards left in the deck. To find the probability of both events happening, we need to multiply the probabilities. Therefore, (1/13) * (4/51) = 4/663, which when rounded to three decimal places is 0.006. So the correct answer is choice letter A. The probability of drawing a two on the first card is 4/52 (there are four twos in a deck of 52 cards). The probability of drawing a ten on the second card, given that the first card was a two, is 4/51 (there are four tens left in a deck of 51 cards). Therefore, the probability of both events occurring in succession is (4/52)*(4/51) = 0.006.

Write the Word or Phrase That Best Completes Each Statement