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A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug. To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

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musiclover10045

7 + 6 + 2 = 15 total acres

2 acres are flowers

15-2 = 13

13/15 = 0.866

 86.7% probability

Answer: Probability that the ladybug was not found within the acres of flowers is [tex]\dfrac{13}{15}[/tex]

Step-by-step explanation:

Since wee have given that

Number of acres is used for vegetables = 7

Number of acres is used for fruits = 6

Number of acres is used for flowers = 2

Total acres = 7+6+2=15 acres

Probability that the ladybug was found within the acres of flowers is given by

[tex]\dfrac{2}{15}[/tex]

So, probability that the ladybug was not found within the acres of flowers is given  by

[tex]1-\dfrac{2}{15}\\\\=\dfrac{15-2}{15}\\\\=\dfrac{13}{15}[/tex]

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