# 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 :- 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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(B) $Y$ and $Z$ are dependent

Next Question :

The partial differential equation $\frac{\partial u}{\partial t}+\frac{\partial\left(\frac{u^{2}}{2}\right)}{\partial x}=0$ is
(A) linear and first order
(B) linear and second order
(C) non-linear and first order
(D) non-linear and second order