Select the option that expresses the given sentence in passive voice.

Nick won the lottery.

The lottery was won by Nick.

The correct passive voice of the given sentence is The lottery was won by Nick.

The active voice of the sentence is Nick won the lottery. This sentence is in the simple past tense, which is used to describe an action that happened in the past. The passive voice of the sentence is formed by putting the subject of the active sentence after the verb "to be" and the past participle of the main verb. In this case, the subject of the active sentence is "Nick" and the main verb is "win." The past participle of "win" is "won." So, the passive form of the sentence is The lottery was won by Nick.

The other options are incorrect because:

• The lottery has been win by Nick. is grammatically incorrect. The verb "has been" should be "was" because the action of winning the lottery happened in the past.
• The lottery is won by Nick. is in the present tense, while the original sentence is in the simple past tense.
• The lottery is being won by Nick. is in the present progressive tense, which is used to describe an ongoing action. The passive voice of the sentence should be in the simple past tense.