A fair coin is tossed 3 times. Consider the events: \( \mathrm{P} \...

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A fair coin is tossed 3 times. Consider the events:
\( \mathrm{P} \)
A : first toss is head
W
\( \mathbf{B} \) : second toss is head
C : exactly two heads in a row.
Then:
(1) A and B are independent
(2) \( \mathrm{B} \) and \( \mathrm{C} \) are independent
(3) \( \mathrm{C} \) and \( \mathrm{A} \) are independent
(4) A, B, C are mutually independent
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