close
標題:
Possibility, Help!
In One general election, the proportions of votes cast were:Labour 55%Conservative 31%Liberal Democrat 10%Other 4% Three voters chosen at random were asked which party they voted for a) Find the probability that all three voted for the same party b) Find the probability that all three voted for a... 顯示更多 In One general election, the proportions of votes cast were: Labour 55% Conservative 31% Liberal Democrat 10% Other 4% Three voters chosen at random were asked which party they voted for a) Find the probability that all three voted for the same party b) Find the probability that all three voted for a different party State your answers to 3 sf. P.S. plz explain them step by step
最佳解答:
(a) The probability that all 3 voted for Labour is 0.55x0.55x0.55 = 0.166375 The probability that all 3 voted for Conservative is 0.31x0.31x0.31 = 0.029791 The probability that all 3 voted for Liberal Democrat is 0.1x0.1x0.1 = 0.001 The probability that all 3 voted for Other is 0.04x0.04x0.04 = 0.000064 The required probability = 0.197 (b) If we consider Other as a single party, probability that all the 3 voted for a different party = 3! * 55% * 31% * 10% + 3! * 55% * 31% * 4% + 3! * 55% * 10% * 4% + 3! * 31% * 10% * 4% = 0.164 If only the 3 named parties is concerned, the probability is 3! * 55% * 31% * 10% = 0.102 3! is the permutation of 3 parties : ABC, ACB, BAC, BCA, CAB, CBA
其他解答:
Possibility, Help!
此文章來自奇摩知識+如有不便請留言告知
發問:In One general election, the proportions of votes cast were:Labour 55%Conservative 31%Liberal Democrat 10%Other 4% Three voters chosen at random were asked which party they voted for a) Find the probability that all three voted for the same party b) Find the probability that all three voted for a... 顯示更多 In One general election, the proportions of votes cast were: Labour 55% Conservative 31% Liberal Democrat 10% Other 4% Three voters chosen at random were asked which party they voted for a) Find the probability that all three voted for the same party b) Find the probability that all three voted for a different party State your answers to 3 sf. P.S. plz explain them step by step
最佳解答:
(a) The probability that all 3 voted for Labour is 0.55x0.55x0.55 = 0.166375 The probability that all 3 voted for Conservative is 0.31x0.31x0.31 = 0.029791 The probability that all 3 voted for Liberal Democrat is 0.1x0.1x0.1 = 0.001 The probability that all 3 voted for Other is 0.04x0.04x0.04 = 0.000064 The required probability = 0.197 (b) If we consider Other as a single party, probability that all the 3 voted for a different party = 3! * 55% * 31% * 10% + 3! * 55% * 31% * 4% + 3! * 55% * 10% * 4% + 3! * 31% * 10% * 4% = 0.164 If only the 3 named parties is concerned, the probability is 3! * 55% * 31% * 10% = 0.102 3! is the permutation of 3 parties : ABC, ACB, BAC, BCA, CAB, CBA
其他解答:
文章標籤
全站熱搜
留言列表
