Using a standard deck of cards (52 cards with 13 hearts, 13, spades, 13 clubs and 13 diamonds; each suit contains numbers 2-10 and includes a jack, queen, king, and ace) determine the probability of the event. The probability of a face card:
The probability of the number 5 :
The probability of a non-face card:
The probability of a face card:
There are 12 face cards in a standard deck (4 jacks, 4 queens, and 4 kings). The probability of drawing a face card is therefore 12/52, which simplifies to 3/13.
The probability of the number 5:
There are 4 fives in a standard deck (one in each suit). The probability of drawing a five is therefore 4/52, which simplifies to 1/13.
The probability of a non-face card:
The non-face cards in a standard deck are the numbered cards from 2 to 10, so there are 9 cards in each suit. There are a total of 36 non-face cards in the deck. The probability of drawing a non-face card is therefore 36/52, which simplifies to 9/13.