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

P(A) = 0.12
[tex]P(A\cap C)=0.05[/tex]
[tex]P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)[/tex]
[tex]0.17=0.12+P(C)-0.05[/tex]
[tex]P(C)=0.17-0.12+0.05=0.10[/tex]

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okpalawalter8 okpalawalter8 · Answer 2 · 2022-06-07T18:14:20+02:00

"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

[tex]P_C=0.10[/tex]

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

[tex]P_A = 0.12[/tex]
[tex]P_{AnC}=0.05[/tex]

[tex]P_{AuC}=0.17[/tex]

The equation to define the probability is

[tex]P_{AuC}=P_{A}+P_C-P_{AnC}[/tex]

Therefore

[tex]0.17=0.12+P_C-0.05[/tex]

Solving objectively for P_C

[tex]P_C=0.17-0.12+0.05[/tex]

[tex]P_C=0.10[/tex]

In conclusion, the probability of a customer buying carrots is

P_C=0.10