A bag contains 3 Maths books. 5 English books, and 4 Science books. One book is taken out from the bag. Find the probability that the book drawn is a
Maths book

Answer

To solve the problem of finding the probability that the book drawn is a Maths book, we can follow these steps:

### Step 1: Identify the total number of books in the bag.
- The bag contains:
- 3 Maths books
- 5 English books
- 4 Science books

### Step 2: Calculate the total number of books.
- Total number of books = Number of Maths books + Number of English books + Number of Science books
- Total number of books = 3 + 5 + 4 = 12

### Step 3: Identify the number of favorable outcomes.
- The favorable outcomes for drawing a Maths book are the number of Maths books in the bag.
- Number of Maths books = 3

### Step 4: Calculate the probability.
- Probability (P) of drawing a Maths book is given by the formula:
\[ P(\text{Maths book}) = \frac{\text{Number of Maths books}}{\text{Total number of books}} \]
- Substituting the values:
\[ P(\text{Maths book}) = \frac{3}{12} \]

### Step 5: Simplify the probability.
- Simplifying \(\frac{3}{12}\):
\[ P(\text{Maths book}) = \frac{1}{4} \]

### Final Answer:
The probability that the book drawn is a Maths book is \(\frac{1}{4}\).

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