A single card is drawn from a standard deck of cards. Find the probability of $P ( \text { not a face card } \mid 4 )$ .
A) $\frac{1}{1}$

B) $\frac { 3 } { 52 }$
C) $\frac { 1 } { 10 }$
D) $\frac { 1 } { 13 }$
E) $\frac { 3 } { 13 }$

Question

A single card is drawn from a standard deck of cards. Find the probability of $P ( \text { not a face card } \mid 4 )$ .
A) $\frac{1}{1}$

B) $\frac { 3 } { 52 }$
C) $\frac { 1 } { 10 }$
D) $\frac { 1 } { 13 }$
E) $\frac { 3 } { 13 }$

Quizplus · Accepted Answer

The notation $P ( \text { not a face card } \mid 4 )$ is not standard probability notation and seems to be incorrectly formatted or misinterpreted. However, interpreting the question as asking for the probability of drawing a card that is not a face card from a standard deck, there are 40 non-face cards (10 in each suit, excluding the 3 face cards: Jack, Queen, King) out of 52 cards total. The probability is therefore $\frac{40}{52}$, which simplifies to $\frac{10}{13}$. None of the provided options match this calculation, suggesting a misunderstanding in the question's presentation. However, option A, $\frac{1}{1}$, could be considered correct if misinterpreting the given condition as having no effect, implying certainty (but this interpretation is quite a stretch given the standard understanding of probability questions).

A Single Card Is Drawn from a Standard Deck of Cards