Subjects probability

Probability Jack 63D5Dc

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1. **State the problem:** We need to find the probability $P(E)$ that a card drawn from a standard 52-card deck is a jack. 2. **Recall the formula for probability:** $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$ 3. **Identify the total number of possible outcomes:** There are 52 cards in the deck. 4. **Identify the number of favorable outcomes:** There are 4 jacks in the deck (one in each suit). 5. **Calculate the probability:** $$P(E) = \frac{4}{52}$$ 6. **Simplify the fraction:** $$P(E) = \frac{\cancel{4}}{\cancel{52}} = \frac{1}{13}$$ 7. **Final answer:** The probability of drawing a jack is $$P(E) = \frac{1}{13}$$