Correct option is A
The correct option to fill in the blank is (a) an; the.
Explanation:
The indefinite article 'an' is used before 'umbrella' because it starts with a vowel sound. 'The house' is used to refer to a specific house (presumably his own).
Example: She carried an apple in the bag.
Information Booster:
Articles are determined by the sound of the following word. 'U' in umbrella sounds like 'uh' (vowel), hence 'an'.
So the correct answer is (a)