How do you find the probability of selecting not a face card from a standard deck of 52 playing cards?

May 7, 2018

$\textcolor{b l u e}{\text{Probability} = \frac{10}{13} \approx 0.769230769}$

Explanation:

There are four suites in a deck, each containing three picture cards.

Total number of picture cards is:

$4 \times 3 = 12$

Number of cards in deck that are not picture cards:

$52 - 12 = 40$

These are the favourable outcomes.

Probability is:

$\left(\text{favourable outcomes")/("all possible outcomes}\right)$

$\therefore$

$\frac{40}{52} = \frac{10}{13}$

$\text{Probability} = \frac{10}{13} \approx 0.769230769$