A magician asks a person to randomly choose a card from an English playing card, what is the probability that the card is a diamond or a card greater than 9

To find the probability that the randomly chosen card is a diamond or a card greater than 9, we need to determine the number of favorable outcomes (cards that are diamonds or greater than 9) and the total number of possible outcomes (total number of cards in an English playing card deck). An English playing card deck consists of 52 cards, with 13 cards in each of the four suits (hearts, diamonds, clubs, and spades). Among these suits, there are 13 diamonds, and among the numeric cards (2-10), there are 4 cards greater than 9 (10, J, Q, K). To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. Number of favorable outcomes: - There are 13 diamonds. - There are 4 cards greater than 9 (10, J, Q, K) in each suit, so a total of 4 * 4 = 16 cards greater than 9. Total number of possible outcomes: - There are 52 cards in total in the deck. Therefore, the probability is: (Number of favorable outcomes) / (Total number of possible outcomes) = (13 + 16) / 52 = 29 / 52 = 0.5577 (rounded to four decimal places). The probability that the randomly chosen card is a diamond or a card greater than 9 is approximately 0.5577 or 55.77%.