Question

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

Answer 1

hint:
P(A and B) = P(A) + P(B) - P(A or B)

Answer 2

so it would be p (12 and 17) =P(12)+P(17)-P(12-17)

Answer 3

A = event person buys apples
B = event person buys carrots


`The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip` means P(A) = 0.12

`...5 percent chance that a customer buy apples and carrots` so P(A and B) = 0.05

`...7 percent chance that a customer buys apples or carrots.` so P(A or B) = 0.07

Answer 4

let x = P(B)

Answer 5

i got 0.10

Answer 6

using the info above, we can go from

P(A and B) = P(A) + P(B) - P(A or B)

to

0.05 = 0.12 + x - 0.07

Answer 7

do we have to solve this equation

Answer 8

my bad, I meant to say 0.17 instead of 0.07

Answer 9

0.05 = 0.12 + x - 0.17 is the equation you need to solve

Answer 10

solving 0.05 = 0.12 + x - 0.17 for x gives x = 0.10 so you are correct

Answer 11

i got 1/10

Answer 12

so its 10 percent?

Answer 13

so 10%

Answer 14

yep

Answer 15

thank you for your help

Answer 16

you're welcome