Q43

MSQ2 marks

Consider a random experiment where two fair coins are tossed. Let $A$ be the event that denotes $\text{HEAD}$ on both the throws, $B$ be the event that denotes $\text{HEAD}$ on the first throw, and $C$ be the event that denotes $\text{HEAD}$ on the second throw. Which of the following statements is/are $\text{TRUE}?$

(A)

$A$ and $B$ are independent.

(B)

$A$ and $C$ are independent.

(C)

$B$ and $C$ are independent.

(D)

$\operatorname{Prob}(B \mid C)=\operatorname{Prob}(B)$

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