Subjects probability

Prime Number Probability 2271D0

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1. **State the problem:** We have 50 tickets numbered from 1 to 50. One ticket is drawn at random. We need to find the probability that the drawn ticket has a prime number. 2. **Recall the formula for probability:** $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 3. **Identify total outcomes:** There are 50 tickets, so total outcomes = 50. 4. **Find favorable outcomes (prime numbers between 1 and 50):** Prime numbers between 1 and 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 Count them: there are 15 prime numbers. 5. **Calculate the probability:** $$\text{Probability} = \frac{15}{50} = \frac{3}{10} = 0.3$$ 6. **Interpretation:** The probability that the drawn ticket bears a prime number is 0.3 or 30%.