You are dealt one card firm a 52 -card deck. Find the probability that you are not dealt a dlamond. The probability is \( \square \). (Type an integer or a fraction. Simplify your answer.)
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In a standard 52-card deck, there are 13 diamonds. To find the probability of not being dealt a diamond, we first calculate the number of non-diamond cards, which is 52 - 13 = 39. Therefore, the probability of not being dealt a diamond is the number of non-diamond cards divided by the total number of cards: \[ P(\text{not a diamond}) = \frac{39}{52} = \frac{3}{4}. \] So, the probability is \(\frac{3}{4}\). Did you know that playing cards have a fascinating history? They are believed to have originated in China during the Tang Dynasty as early as the 9th century! The layout of today’s four suits – hearts, diamonds, clubs, and spades – emerged in Europe in the late 15th century. Each suit has its own unique symbolism, making every card a little piece of history! Want a real-world application? Understanding probabilities can be super useful in everyday life, especially in areas like gambling, sports statistics, and risk assessment. For instance, if you're into poker, knowing the odds of drawing certain cards can help you make better decisions during the game. The more informed you are about probabilities, the better your chances of coming out ahead!
