Question

You randomly survey students about whether they are in favor of planting a community garden at school. Of 96 boys surveyed, 61 are in favor. Of 88 girls surveyed, 17 are against. Organize the results in a two-way table. What is the probability of randomly choosing a student that is against the garden and is a girl?

Please show all work I’m lost on this, thank you!

Answer 1

boys girls

yes 61 71

no 35 17

In order to find out how many boys are against you do 96 - 61. In order to find out how many girls are in favor you do 88 - 17.

In order to find the probability you make a proportion. It will be:

`(number of girls against)/(total number of students) = (p)/(100)`

So plug in you numbers.

`(17)/(184) = (p)/(100)`

Then you solve the proportion using cross multiplication.

`17 * 100 = 184p`

`1700 = 184p`

`(1700)/(184) = (184)/(184)p`

`9.23913043478 = p`

So, the chance of randomly picking a girl that's against the garden is 9.23913043478%