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

Question ID - 155694 | SaraNextGen Top Answer

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