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?

(A) $X$ and $Y$ are not independent

(B) $Y$ and $Z$ are dependent

(C) $Y$ and $Z$ are independent

(D) $X$ and $Z$ are independent

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?

(A) $X$ and $Y$ are not independent

(B) $Y$ and $Z$ are dependent

(C) $Y$ and $Z$ are independent

(D) $X$ and $Z$ are independent

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