A single card is drawn from a standard deck of cards. Find the probability of $P ( \text { black } \mid 3 )$ .
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 10 }$
D) $\frac { 1 } { 13 }$
E) $\frac { 1 } { 26 }$

Question

Quizplus · Accepted Answer

Given that the card is a 3, there are only 2 possibilities: it could be a 3 of clubs or a 3 of spades, both of which are black. Since there are 4 suits and only 2 of them are black, the probability is $\frac{2}{4} = \frac{1}{2}$.

A Single Card Is Drawn from a Standard Deck of Cards