find the probability for the experiment of selecting one card from a 52 playing cards such that the card is not a red face
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%.
To find the probability of selecting one card from a deck of 52 playing cards such that the card is not a red face, we need to determine the number of cards that meet this condition and divide it by the total number of cards.
Step 1: Determine the number of red face cards.
In a standard deck of 52 playing cards, there are 2 red suits (hearts and diamonds), each with 3 face cards (Jack, Queen, and King). Therefore, the number of red face cards is 2 suits * 3 face cards per suit = 6 cards.
Step 2: Determine the total number of face cards.
There are 4 suits (hearts, diamonds, clubs, and spades) and each suit has 3 face cards (Jack, Queen, and King). Therefore, the total number of face cards is 4 suits * 3 face cards per suit = 12 cards.
Step 3: Determine the number of non-red face cards.
To find the number of non-red face cards, we subtract the number of red face cards from the total number of face cards: 12 - 6 = 6 cards.
Step 4: Find the probability.
The probability of selecting a non-red face card is the number of favorable outcomes (6 cards) divided by the total number of possible outcomes (52 cards).
Probability = Number of favorable outcomes / Total number of possible outcomes
= 6 / 52
= 3 / 26
Therefore, the probability of selecting one card from a deck of 52 playing cards such that the card is not a red face is 3/26.