A box contains 5 strawberry chocolates, 6 coffee chocolates and 2 peppermint chocolates . Find the probability of each of the pollowing events, if one fothe chocolates is picked from the box at random .
It is a coffee chocolate.

Answer

To find the probability of picking a coffee chocolate from the box, we can follow these steps:

### Step 1: Identify the total number of chocolates in the box.
- The box contains:
- 5 strawberry chocolates
- 6 coffee chocolates
- 2 peppermint chocolates

**Total number of chocolates = 5 + 6 + 2 = 13**

### Step 2: Identify the number of favorable outcomes for the event.
- We are interested in the event of picking a coffee chocolate.
- The number of coffee chocolates in the box is 6.

### Step 3: Use the probability formula.
- The probability of an event is given by the formula:

\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

- Here, the number of favorable outcomes (picking a coffee chocolate) is 6, and the total number of outcomes (total chocolates) is 13.

### Step 4: Substitute the values into the formula.
- Therefore, the probability of picking a coffee chocolate is:

\[ P(\text{coffee chocolate}) = \frac{6}{13} \]

### Final Answer:
The probability of picking a coffee chocolate from the box is \(\frac{6}{13}\).

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