Suppose a single card is drawn from a standard deck of playing cards. Find the probability of drawing a five or a red card?

1 answer

There are 52 cards in a standard deck. There are four fives and 26 red cards (13 hearts and 13 diamonds) in the deck. However, we must be careful not to count the red five of hearts and the red five of diamonds twice. So, the total number of cards that are either fives or red is 4 + 26 - 2 = 28. Therefore, the probability of drawing a five or a red card is:

P(five or red) = 28/52 = 7/13

Answer: \boxed{\frac{7}{13}}.