find the probability for the experiment of selecting one card from 52 playing cards such that the card is not a red face
A standard deck of playing cards consists of 52 cards, with 26 of them being red (13 hearts and 13 diamonds) and 3 of them being red face cards (the King of Hearts, the Queen of Hearts, and the Jack of Diamonds).
To find the probability of selecting a card that is not a red face, we need to determine the number of cards that fit this description and divide it by the total number of cards in the deck.
Number of red face cards = 3
Number of red cards = 26
Number of cards that are not red face = Total number of cards - Number of red face cards
= 52 - 3 = 49
Thus, the probability of selecting a card that is not a red face is 49/52, which can be simplified to approximately 0.9423 or 94.23%.
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 favorable outcomes and the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes.
There are 26 red cards in a deck (13 hearts and 13 diamonds). Since we want to exclude the red face cards, we subtract the number of red face cards from the total number of red cards.
There are 3 red face cards (King, Queen, and Jack) in each suit, totaling 12 red face cards in total.
Number of favorable outcomes = Total number of red cards - Number of red face cards
= 26 - 12
= 14
Step 2: Determine the total number of possible outcomes.
Since we are selecting one card from a deck of 52 playing cards, the total number of possible outcomes is 52.
Total number of possible outcomes = 52
Step 3: Calculate the probability.
The probability is given by the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 14 / 52
= 7 / 26
≈ 0.269
Therefore, the probability of selecting one card from 52 playing cards such that the card is not a red face is approximately 0.269 or 26.9%.