Find the indicated probability.
-You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction.
A) $\frac { 1 } { 2,652 }$
B) $\frac { 25 } { 102 }$
C) $\frac { 13 } { 51 }$
D) $\frac { 25 } { 51 }$

Question

Find the indicated probability.
-You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction. 
A) $\frac { 1 } { 2,652 }$
B) $\frac { 25 } { 102 }$
C) $\frac { 13 } { 51 }$
D) $\frac { 25 } { 51 }$

Quizplus · Accepted Answer

There are 26 black cards in a deck. The probability the first card is black is 26/52. If the first card is black, there are 25 black cards left out of 51 total cards. So, the probability both cards are black is (26/52) * (25/51) = 25/102.

Find the Indicated Probability 12,652\frac { 1 } { 2,652 }2,6521​

Find the Indicated Probability $\frac { 1 } { 2,652 }$