find the probability for the experiment of selecting one card from a 52 playing cards such that the card is not a red face

1 answer

To find the probability of selecting one card from a standard deck of 52 playing cards such that the card is not a red face, we need to calculate the number of favorable outcomes (cards that are not red faces) and divide it by the total number of possible outcomes (52 cards total).

There are 2 red face cards in each suit (hearts and diamonds), so there are a total of 8 red faces (2 * 4 = 8).

There are 4 suits in a deck (hearts, diamonds, clubs, spades), and each suit has 13 cards. However, we subtract the 8 red face cards from each suit to obtain the number of cards that are not red faces in each suit, which is 5 (13 - 8 = 5).

Therefore, the number of cards that are not red faces in the deck is 4 suits * 5 cards = 20 cards.

The total number of possible outcomes is 52 cards.

Hence, the probability of selecting one card that is not a red face is 20 favorable outcomes / 52 total outcomes = 10/26 = 5/13 ≈ 0.385.

Therefore, the probability for this experiment is approximately 0.385 or 38.5%.