Subjects probability

Jack Probability Ee666B

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1. **State the problem:** We want to find the probability of drawing a jack from a standard 52-card deck. 2. **Formula for probability:** The probability of an event is given by $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$ 3. **Identify favorable outcomes:** There are 4 jacks in a deck (one in each suit: hearts, diamonds, clubs, spades). 4. **Identify total outcomes:** There are 52 cards in total. 5. **Calculate the probability:** $$\text{Probability of drawing a jack} = \frac{4}{52}$$ 6. **Simplify the fraction:** $$\frac{4}{52} = \frac{\cancel{4}^1}{\cancel{52}^{13}} = \frac{1}{13}$$ 7. **Final answer:** The probability of drawing a jack from a standard deck is $$\boxed{\frac{1}{13}}$$