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?

Answer 1

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1) Since we need to set a two-way table, then we can do it by sketching the table below:

2) Now, from that table we can calculate the probability of choosing a student that is against the garden and a girl.

2.1) We need to add the number of people who are against the garden so that we have the total outcomes: 35+17 =52

And the favorable event (number of girls) given that this is out of the people who are against the garden: 17

So the Probability is:

$P=\frac{17}{52}$