A coin is tossed twice. Let $\displaystyle {E}$ be the event "the first toss shows heads" and $\displaystyle {F}$ the event "the second toss shows heads".

(a) Are the events $\displaystyle {E}$ and $\displaystyle {F}$ independent?
Input Yes or No:

(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
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