Mathematics: 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!

7/-15 cuz 17-10=7 and (-7)-8=25...

You randomly survey students about whether they are

lafayette7727

22.01.2022

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:

$\frac{number of girls against}{total number of students} = \frac{p}{100}$

So plug in you numbers.

$\frac{17}{184} = \frac{p}{100}$

Then you solve the proportion using cross multiplication.

17 * 100 = 184p

1700 = 184p

$\frac{1700}{184} = \frac{184}{184}p$

9.23913043478 = p

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

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