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A coin is tossed thrice. Let $X$ be the event that head occurs in each of the first two tosses. Let $Y$ be the event that a tail occurs on the third toss. Let $Z$ be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is $TRUE$?

  1. $X$ and $Y$ are not independent
  2. $Y$ and $Z$ are dependent
  3. $Y$ and $Z$ are independent
  4. $X$ and $Z$ are independent
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