Step 1: Analyze the reaction.
The given reaction involves the reduction of an aldehyde (\( \text{CH}_3 - \text{CH} = \text{CH}_2 - \text{CHO} \)) with \( \text{LiAlH}_4 \), followed by hydrolysis with water. Lithium aluminum hydride (\( \text{LiAlH}_4 \)) is a strong reducing agent that reduces aldehydes to primary alcohols.
Step 2: Determine the product.
Upon reduction of the aldehyde group and subsequent hydrolysis, the product is a primary alcohol:
\[
\text{CH}_3 - \text{CH} = \text{CH}_2 - \text{CH}_2 - \text{OH}
\]
Thus, the correct answer is (A).