A coin is tossed thrice and all the eight outcomes are assumed equally likely. In which of the following cases are the following events `A` and `B` are independent?
A= the first thrown results in head, B= the last thrown results in tail
A= the number of heads is odd, B= the number of tails is odd
A= the number of heads is two, B= the last throw results in head

Explanation

To determine whether the events A and B are independent in the given scenarios, we will use the definition of independent events. Two events A and B are independent if:

\[ P(A \cap B) = P(A) \times P(B) \]

We will analyze each case one by one.

### Case 1:
**Event A**: The first throw results in head.
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