Answer:
S =
{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T,
4), (T, 5), (T, 6)}
A
= {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}
B
= {(H, 3), (T, 3)}
Now
P(A) =
Since
P(AB) = (A) P(B)
Therefore,
A and B are independent events.
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