Correct Answer: The old man wished her good luck and prayed that she might succeed in her venture.

Solution : The correct choice is the third option .

The steps of conversion are as follows:

• The reporting verb "wished" is used to emphasise the optative nature of the sentence.
• The second-person pronoun "you" is changed to the third-person pronoun "you" and the second-person pronoun "your" is changed to the third-person pronoun "her".
• The simple present sentence is changed to the simple past tense

Therefore, the sentence in the reported speech is: " The old man wished her good luck and prayed that she might succeed in her venture."