Social service club invite Alex,Sindy and Dave to be guest singers of its charity show,probabilities of each singer agreeing to come are 0.6,0.8 and 0.5 respectively
number of guest singers 0 1 2 3
probability of full house 0 0.3 0.8 1
What is probability of full house?
f5數學題一問?
2011-09-26 4:57 am
回答 (1)
2011-09-26 8:24 am
✔ 最佳答案
P(Full house)= P(1 singer) * 0.3
+ P(2 singers) * 0.8
+ P(3 singers) * 1
=[ (0.6)(1 - 0.8)(1 - 0.5) + (1 - 0.6)(0.8)(1 - 0.5) + (1 - 0.6)(1 - 0.8)(0.5) ] * 0.3
+ [ (0.6)(0.8)(1 - 0.5) + (0.6)(1 - 0.8)(0.5) + (1 - 0.6)(0.8)(0.5) ] * 0.8
+ (0.6)(0.8)(0.5) * 1
=0.078
+ 0.368
+ 0.24
= 0.686 = 343/500
收錄日期: 2021-04-21 22:22:27
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110925000051KK00987