Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: $20\%$ are currently undergraduate students in business; $15\%$ are undergraduate students in other fields of study; $60\%$ are

college graduates who are currently employed, and $5\%$are college graduates who are not employed. Choose a customer at random.

(a) What’s the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?

(b) What’s the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the answer?

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An event is a subset of an experiment's total number of outcomes. The ratio of the number of elements in an event to the number of total outcomes is the probability of that occurrence.

P(Business bachelor's degree) = $0.20$

P(Other topics of study for undergraduates) = $0.15$

P(Graduates who are working) = $0.60$

P(Graduates who have not found work) = $0.05$

Formula:

$P(AorB)=P\left(A\right)+P\left(B\right)$

Using formula,

$P(Undergraduateinbu\sin essorUndergraduateinotherfields)=P(Undergraduateinbu\sin ess)+P(Undergraduateinotherfields)=0.20+0.15=0.35$

P(Business bachelor's degree) =$0.20$

P(Other topics of study for undergraduates) = $0.15$

P(Graduates who are working) = $0.60$

P(Graduates who have not found work) = $0.05$

Formula:

$P\left(Ac\right)=1-P\left(A\right)$

Using the complementary probability formula,

$P(notundergraduatebu\sin ess)=1-P(undergraduatebu\sin ess)=1-0.20=0.80$