Use the general multiplication rule to find the indicated probability.
-You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.
A)0.002
B)0.154
C)0.127
D)0.006

Question

Use the general multiplication rule to find the indicated probability.
-You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen. 
A)0.002
B)0.154
C)0.127
D)0.006

Quizplus · Accepted Answer

The probability of drawing a king first is 4/52 (since there are 4 kings in a deck of 52 cards). After drawing a king, there are 51 cards left, and the probability of drawing a queen next is 4/51 (since there are 4 queens left in the deck). Multiplying these probabilities gives (4/52) * (4/51) = 1/13 * 1/51 = 1/663, which is approximately 0.006.

Use the General Multiplication Rule to Find the Indicated Probability