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A fair coin is tossed six times. Consider the following events: E 1: the first toss yields Head; E 2: the last toss yields Head;

A fair coin is tossed six times. Consider the following events:

E1: the first toss yields Head;

E2: the last toss yields Head;

E3: exactly three Heads are tossed out of the six.

1- Findp(E1 |E3)

2- AreE1 andE3 independent? Justify.

3- AreE1 andE2 independent? Justify.

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