A card is drawn at random from a standard deck of 52 playing cards. What is the probability of drawing a red card or a black face card?

number of reds = 26

number of blacks faces = 6 (I think)

prob(red card or black face) = 32/52 =8/13

(I believe face cards are defined as Jack, Queen and King, if not change the numbers above to match)

To find the probability of drawing a red card or a black face card, we first need to determine the number of favorable outcomes and the total number of possible outcomes.

There are 26 red cards in a standard deck of 52 playing cards (13 hearts and 13 diamonds). Additionally, there are 6 black face cards (3 face cards each in clubs and spades). Since a face card cannot be both red and black, we count it once.

So we have:
Number of favorable outcomes = Number of red cards + Number of black face cards = 26 + 6 = 32

The total number of possible outcomes is simply the number of cards in a deck, which is 52.

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 32 / 52

To simplify the fraction, we notice that both 32 and 52 have a common factor of 4. Dividing both numerator and denominator by 4, we get:

Probability = 8 / 13

Therefore, the probability of drawing a red card or a black face card is 8/13.