Question

some sanitation workers sifted through some recycling and trash to see whether people had correctly sorted their plastic bottles. what is the probability that a randomly selected bottle is made of plastic #2 and is correctly placed? simplify any fractions.

Explanation:

Step1: Find total number of bottles

Add all the values in the table: $3 + 2+5 + 5=15$.

Step2: Find number of plastic #2 and correctly - placed bottles

The number of plastic #2 and correctly - placed bottles is 2.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{2}{15}$.

Answer:

$\frac{2}{15}$