A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.)Drawing a red card or a face card

To solve this problem, we need to understand that a standard deck of cards has 52 cards: 26 of them are red (13 hearts and 13 diamonds), and 12 are face cards (kings, queens, and jacks of each suit).

Step 1: Calculate the probability of drawing a red card. This is the number of red cards (26) divided by the total number of cards (52). So, the probability of drawing a red card is 26/52 = 1/2.

Step 2: Calculate the probability of drawing a face card. This is the number of face cards (12) divided by the total number of cards (52). So, the probability of drawing a face card is 12/52 = 3/13.

Step 3: Add the two probabilities together. However, we have to be careful here because red face cards are being counted twice (once as red cards and once as face cards). There are 6 red face cards (2 each of king, queen, and jack in hearts and diamonds), so we subtract this overlap. The probability of drawing a red card or a face card is (1/2) + (3/13) - (6/52) = 16/26 = 8/13.

So, the probability of drawing a red card or a face card from a standard deck is 8/13.