Question

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?

Answer 1

Answer: Probability that the ladybug was not found within the acres of flowers is
`(13)/(15)`

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

`(2)/(15)`

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

`1-(2)/(15)\\\\=(15-2)/(15)\\\\=(13)/(15)`

Answer 2

7 + 6 + 2 = 15 total acres

2 acres are flowers

15-2 = 13

13/15 = 0.866

86.7% probability