Question

Be sure you are writing out your steps. You will have to submit your shown work for each problem at the end

Curious about people's recycling behaviors, Sandra put on some gloves and sifted through some recycling and trash bins. She kept count of the plastic type of each bottle and which bottles were properly dispensed.

Correctly Placed Incorrectly Placed
Plastic #2 8 5
Plastic #4 5 2
What is the probability that a randomly selected bottle is correctly placed AND is a

Plastic #4 bottle?
Responses
A5/8
B13/20
C7/20
D1/4

Answer 1

First, we need to calculate the total number of Plastic #4 bottles. This would be the sum of the correctly placed and incorrectly placed Plastic #4 bottles.

Total Plastic #4 bottles = Correctly Placed + Incorrectly Placed
Total Plastic #4 bottles = 5 + 2
Total Plastic #4 bottles = 7

Next, we need to find the probability that a randomly selected bottle is correctly placed and is a Plastic #4 bottle. This would be:

Probability = (Number of correctly placed Plastic #4 bottles) / (Total number of bottles)
Probability = 5 / (8 + 5 + 5 + 2)
Probability = 5 / 20
Probability = 1/4

Therefore, the correct answer is D) 1/4.