An urn contains 11 oranges, 8 mangoes and 13 apples. A fruit is drawn at random. What is the probability of not drawing an apple ?

Options

A. `15/32`
B. `19/32`
C. `11/32`
D. `13/32`

Answer

To solve the problem of finding the probability of not drawing an apple from the urn, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the total number of fruits in the urn:**
- The urn contains:
- 11 oranges
- 8 mangoes
- 13 apples
- To find the total number of fruits, we add these quantities together:
\[ \text{Total fruits} = 11 + 8 + 13 = 32 \]

2. **Determine the number of favorable outcomes for not drawing an apple:**
- The fruits that are not apples are the oranges and mangoes. Therefore, we add the number of oranges and mangoes:
\[ \text{Favorable outcomes (not apples)} = 11 + 8 = 19 \]

3. **Calculate the probability of not drawing an apple:**
- The probability is calculated using the formula:
\[ \text{Probability} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \]
- Substituting the values we found:
\[ \text{Probability of not drawing an apple} = \frac{19}{32} \]

4. **Final Answer:**
- The probability of not drawing an apple is:
\[ \frac{19}{32} \]