A coin is tossed twice. Let E and F be the following events:
E: The first toss shows heads.
F: The second toss shows heads.
a.) Are the events E and F independent?
Yes, because the occurrence of one event doesn't affect the probability of another event.
b.) Find the probability of showing heads on both tosses.
If the events E and F are independent in a sample, then the probability of E and F is
P(E⋂F)=P(E)P(F)=(12)(12)=14=0.25
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