Improve the bracketed part of the sentence by choosing the most appropriate option: If you talk to her nicely, she will probably (allow you) her notes.

Introduction / Context:
This sentence improvement question checks your understanding of correct verb patterns in English, especially with the verbs “allow” and “let”. The sentence describes a situation where someone may lend their notes if spoken to politely. You must choose the option that results in a natural and grammatically correct sentence.

Given Data / Assumptions:

• The original sentence is: “If you talk to her nicely, she will probably allow you her notes.”
• The bracketed phrase is “allow you”.
• Four options are given, including “No improvement”.
• The intended meaning is that she will permit you to use or borrow her notes.

Concept / Approach:
The verb “allow” usually takes an object and an infinitive or preposition (allow someone to do something, allow something to someone). The structure “allow you her notes” is awkward. The verb “let” has a simpler pattern: “let someone have something” is a very natural way to express permission to use or borrow something. So “let you have her notes” is the most idiomatic choice.

Step-by-Step Solution:
Understand the required meaning: she will permit you to have or use her notes.Check the original phrase: “allow you her notes” – this lacks “to have” and sounds unnatural.Check option “allow that you have”: the structure is clumsy and not standard for lending notes.Check option “let you have”: “she will probably let you have her notes” is a clear, idiomatic expression.Check option “let you to have”: “let” is followed directly by a bare infinitive; “let you to have” is incorrect.Since “No improvement” would retain the awkward original, it cannot be correct. The best improvement is “let you have”.

Verification / Alternative check:
Insert option (b) into the sentence: “If you talk to her nicely, she will probably let you have her notes.” This version is natural spoken and written English and clearly conveys that she will lend her notes. It matches standard verb pattern rules for “let”.

Why Other Options Are Wrong:
“Allow that you have” is grammatically odd and does not sound natural. “Let you to have” violates the rule that “let” is followed by the base form of the verb without “to”. “No improvement” would leave us with “allow you her notes”, which is incomplete and awkward because it omits “to have”.

Common Pitfalls:
Candidates often confuse “allow” and “let”, assuming they can always be interchanged. However, their patterns differ: “allow someone to do something” versus “let someone do something”. Remembering typical phrases like “let me have a look” can help you choose correctly in exam questions.

Final Answer:
The improved and correct phrase is let you have, giving the sentence: “she will probably let you have her notes.”