Question

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

5/8
13/20
7/20
1/4

Answer 1

To find the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle, we need to look at the number of Plastic #4 bottles that were correctly placed and divide that by the total number of bottles.

From the information given, we know that there are 5 Plastic #4 bottles that were correctly placed.

So, the probability is 5 (correctly placed Plastic #4 bottles) / 13 (total number of Plastic #4 bottles) = 5/13

Therefore, the correct answer is 5/13.