For the given pair of events, classify the two events as independent or dependen

Question

For the given pair of events, classify the two events as independent or dependent. Flipping a fair coin and getting tails Flipping the same coin again and getting heads Choose the correct answer below. A. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. C. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. D. The two events are independent because the occurrence of one affects the probability of the occurrence of the other.

Explanation / Answer

Flipping a fair coin then p(Tail) =0.5 . P(head)=0.5

Next time flipping a coin, the outcome is independent of outcomes from.flipping first time.

P(head)=0.5. P(tail)=0.5

Therefore,

Answer: (c) The two events are independent because occurence of one doesnot affect the probability of occurrenceof the other.

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