A bag contains 8 yellow, 3 pink, 2 green and 7 red candies of similar size. A candy is taken out randomly from the bag. What is the probability that the chosen candy is of red colour?

Options

A. `1/4`
B. `3/20`
C. `7/20`
D. `4/5`

Answer

To find the probability of drawing a red candy from the bag, we can follow these steps:

### Step 1: Determine the total number of candies in the bag.
- We have:
- Yellow candies: 8
- Pink candies: 3
- Green candies: 2
- Red candies: 7

**Total candies = Yellow + Pink + Green + Red**
\[ \text{Total candies} = 8 + 3 + 2 + 7 = 20 \]

### Step 2: Identify the number of favorable outcomes.
- The favorable outcomes are the number of red candies in the bag, which is 7.

### Step 3: Calculate the probability.
- The probability \( P \) of drawing a red candy is given by the formula:
\[ P(\text{Red}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting the values we found:
\[ P(\text{Red}) = \frac{7}{20} \]

### Final Answer:
The probability that the chosen candy is of red color is \( \frac{7}{20} \).

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