A bag has 5 chocolate candies and 7 vanila candies. One candy is drawn out at random. Find the probability that the candy drawn is vanila.

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Identify the number of each type of candy.
- We have 5 chocolate candies and 7 vanilla candies.

### Step 2: Calculate the total number of candies.
- Total candies = Number of chocolate candies + Number of vanilla candies
- Total candies = 5 + 7 = 12

### Step 3: Determine the favorable outcomes for drawing a vanilla candy.
- The number of favorable outcomes (vanilla candies) = 7

### Step 4: Use the probability formula.
- The probability of an event is given by the formula:
\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- In this case, the event is drawing a vanilla candy.

### Step 5: Substitute the values into the formula.
- Probability of drawing a vanilla candy:
\[ P(\text{vanilla}) = \frac{\text{Number of vanilla candies}}{\text{Total number of candies}} = \frac{7}{12} \]

### Step 6: State the final answer.
- The probability that the candy drawn is vanilla is \(\frac{7}{12}\).

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