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Question

Fill in the blanks.
(i) Probability of an impossible event = ........ .
(ii) Probability of a sure event = ........ .
(iii) Let E be an event. Then, P(not E) = ......... .
(iv) P(E) + P(not E) = ........ .
(v) ....... ≤ P(E) ≤ ....... .

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Solution


(i) Probability of an impossible event = 0
(ii) Probability of a sure event = 1
(iii) Let E be an event. Then, P(not E) = 1 − P(E)​ .
(iv) P(E) + P(not E) = 1
(v) 0 ≤ P(E) ≤ 1

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