Question

"A standard deck of cards has 52 cards. There are four suits (hearts, diamonds, clubs, and spades). Each suit contains cards A, 2, 3, 4, 5, 6, 7, 8, 9, 10,

Jack, Queen, King.
What is the probability that a card chosen at random from a standard deck is NOT a face card? Write your answer as a fraction.

Answer 1

The probability that a card chosen at random from a standard deck is not a face card is 40 out of 52, which simplifies to 10 out of 13.

Step-by-step explanation:

To find the probability that a card chosen at random from a standard deck is not a face card, we consider the total number of cards in the deck and the number of face cards. There are 12 face cards in a deck (J, Q, K of each suit), with 3 face cards per suit.

Since there are 52 cards in total and 12 are face cards, there are 52 - 12 = 40 cards that are not face cards. Therefore, the probability of drawing a card that is not a face card is the number of non-face cards divided by the total number of cards, which is 40/52.

Moreover, this fraction can be simplified by dividing both the numerator and the denominator by the common factor of 4. Thus, the simplified fraction representing the probability is 10/13.