On a sample of 1,500 people in Sydney, Australia, 89 have no credit cards (event A), 750 have one (event B), 450 have two (event C) and the rest have more than two (event D). On the basis of the data, calculate each of the following. a. The probability of event A b. The probability of event D c. The complement of event B

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On a sample of 1,500 people in Sydney, Australia, 89 have no credit cards (event A), 750 have one (event B), 450 have two (event C) and the rest have more than two (event D). On the basis of the data, calculate each of the following.   a. The probability of event A   b. The probability of event D   c. The complement of event B

Robert Harris · Accepted Answer

Step 1Given:Total number of people =1500Number of people in event A=89Number of people in event B=750Number of people in event C=450Number of people in event D=1500−89−750−450=211Step 2Rule of calcualting probabilityP(x)=number of favourable outcomesTotal number of outcomesStep 3a)  The probability of event ANumber of favorable outcomes  =89The probability will be=891500=0.0593The required probability is 0.0593Step 4b) The probability of event DNumber of favorable outcomes  =211The probability will be=2111500=0.1407The required probability is 0.1407Step 5c)  The complement of event BProbability of event BNumber of favorable outcomes in event B=750The probability will be=7501500=0.50As per the rule of complementsP(B′)=1−P(B) =1−0.50=0.50The required probability is 0.50

On a sample of 1,500 people in Sydney, Australia, 89 have no credit ca

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