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The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.


What is the probability of a customer buying carrots?




percent

Verified Answer :

toporc

P(A) = 0.12
\(P(A\cap C)=0.05\)
\(P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)\)
\(0.17=0.12+P(C)-0.05\)
\(P(C)=0.17-0.12+0.05=0.10\)

okpalawalter8

"The manager of a grocery store reports that there is a 12 percent chance....", the probability that the customer is to buy carrots is mathematically given as

\(P_C=0.10\)

What is probability?

Probability is simply defined as the degree of certainty that something will occur or be the case.

Customers buying carrots probability.

Generally, the parameters given are

  • \(P_A = 0.12\)
  • \(P_{AnC}=0.05\)
  • \(P_{AuC}=0.17\)

The equation to define the probability is

\(P_{AuC}=P_{A}+P_C-P_{AnC}\)

Therefore

\(0.17=0.12+P_C-0.05\)

Solving objectively for P_C

\(P_C=0.17-0.12+0.05\)

\(P_C=0.10\)

In conclusion, the probability of a customer buying carrots is

P_C=0.10

Read more about probability

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