A box has 15 slips with numbers from 1 to 15 written on them, one slip with one number. One slip is drawn from the box at random. Find the probability that the slip drawn has a multiple of 5.

Answer

To find the probability that the slip drawn from the box has a multiple of 5, we can follow these steps:

### Step 1: Identify the total number of slips
The box contains slips numbered from 1 to 15. Therefore, the total number of slips is:
\[ \text{Total slips} = 15 \]

### Step 2: Identify the favorable outcomes
Next, we need to find the multiples of 5 between 1 and 15. The multiples of 5 in this range are:
- 5
- 10
- 15

Counting these, we find that there are 3 favorable outcomes.

### Step 3: Calculate the probability
The probability \( P \) of drawing a slip that has a multiple of 5 can be calculated using the formula:
\[ P(\text{multiple of 5}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting in the values we found:
\[ P(\text{multiple of 5}) = \frac{3}{15} \]

### Step 4: Simplify the fraction
Now, we simplify the fraction:
\[ P(\text{multiple of 5}) = \frac{3 \div 3}{15 \div 3} = \frac{1}{5} \]

### Final Answer
The probability that the slip drawn has a multiple of 5 is:
\[ \frac{1}{5} \]

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