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probability問題(急)

發問:

A,B.C.and D are events! P(A)=0.15 P(B)=0.3 P(C)=0.55 P(D)= 0.80 why (D) is most likely event? why (A) are least likely and most predictable events? why (C) is least predictable events? 請詳細地每題解釋答案!!!thx 更新: 你冇答到why (A) is most predictable event?

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最佳解答:

P(D)= 0.80 means it has 80% chance event D will occur...is 3/4 chance P(A)=0.15 means it has only 15% chance occur..so least likely 0.6 / 4 chance P (C)=0.55 hase close to 50 - 50 chance...that mean least predictable close to 2/4 chance 2007-03-22 14:23:42 補充: P(A)=0.15 means it has only 15% chance occur..so least likely 0.6 / 4 chancesince the chance of event A not occur is 85%..B is 70% C is 45% ad D is 20% from that assumption we can say P(a) is the most predictable event not will not occur....you are so lazy... 2007-03-22 14:25:05 補充: correction not: most predictable event not will not occur.... to ...most predictable event that will not occur 2007-03-22 14:25:07 補充: correction not: most predictable event not will not occur.... to ...most predictable event that will not occur

其他解答:

Why (D) is most likely event? The definition of probability is that: If we denote by nA the number of occurrences of an event A in n trials, then if 圖片參考:http://upload.wikimedia.org/math/8/c/5/8c510fa1bd5f3f5526e3b4845afddcfb.png The value of P(D) is that highest among the other three. Higher the P(E) is, higher the number of occurences of event E is. Therefore D is the most likely event. Why (A) are least likely events? According to the definition of probability, less the probability of event E is, less the number of occurences of E is. And P(A) is the least among the other three, therefore A is the least likely event. Why (A) is most predictable event? 1-P(A) =1-0.15=0.85 The probabilty that event A do not happen is the highest. We can more confident that A will not happen. Therefore it is the most predictable event. Why (C) is least predictable events? 1-P(C) =1-0.55=0.45 Therefore the probabilty that P(C) do not happen is 0.45. It is very close to P(C). Therefore we are least confident to predict will C happen. Therefore C is the least predictable event.

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