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%.
Prime Number Probability 2271D0
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