Socceroos Ltd manufactures World Cup soccer balls in 2 models: premium and standard. An auditor engaged in a compliance audit of the firm is validating the sales account for April. She has collected 200 invoices for the month. Of the 140 retail invoices, 28 are for the standard model. Of the wholesale invoices, 24 are for the standard model. If the auditor selects one invoice at random,

B. Find the following probabilities that a wholesale invoice for the premium model

and record the probability in percentage

Question

Socceroos Ltd manufactures World Cup soccer balls in 2 models: premium and standard. An auditor engaged in a compliance audit of the firm is validating the sales account for April. She has collected 200 invoices for the month. Of the 140 retail invoices, 28 are for the standard model. Of the wholesale invoices, 24 are for the standard model. If the auditor selects one invoice at random,

B. Find the following probabilities that a wholesale invoice for the premium model

and record the probability in percentage

BlackTom AI · Accepted Answer

We start by identifying the totals given in the scenario. There are 200 invoices in total, with 140 retail invoices. Therefore, the number of wholesale invoices is 200 − 140 = 60.
Next, within wholesale invoices, 24 are for the standard model. So the number of wholesale invoices that are premium is 60 − 24 = 36.
The probability of selecting a wholesale invoice for the premium model at random from all invoices is the number of such invoices divided by the total number of invoices: 36 out of 200, which equals 36/200 = 0.18.
Converting to a percentage, 0.18 × 100% = 18%.
Note: There were no multiple-choice options provided in the prompt, so this calculation stands as the direct computation from the given counts. If options were present, you would compare them to 18% and select the one matching this result.

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