You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. Find the probability of drawing a 10 for the first card and a king for the second card. Round your answer to the nearest thousandth.
A)0.006
B)0.039
C)0.019
D)0.155
E)0.038

Question

Quizplus · Accepted Answer

The probability of drawing a 10 from a standard deck of 52 cards is 4/52 (since there are 4 tens in a deck). After replacing the first card, the probability of drawing a king is also 4/52. The probability of both events happening is (4/52) * (4/52) = 16/2704, which simplifies to 1/169. When rounded to the nearest thousandth, this equals approximately 0.006.

You Draw Two Cards from a Standard Deck of 52