some sanitation workers sifted through some recycling and trash to see whether people had correctly sorted…

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.
Answer
Explanation:
Step1: Calculate total number of bottles
Total bottles = (2 + 5)+(3 + 5)=15
Step2: Identify number of desired - type bottles
Number of plastic #2 and correctly - placed bottles = 2
Step3: Calculate probability
Probability = $\frac{\text{Number of desired - type bottles}}{\text{Total number of bottles}}=\frac{2}{15}$
Answer:
$\frac{2}{15}$