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? (1 point) Responses 58 5 eighths 14 1 fourth 720 7 over 20 1320
To find the probability that a randomly selected bottle is correctly placed and is a Plastic #4 bottle, we need to find the number of Plastic #4 bottles that are correctly placed and divide it by the total number of bottles.
From the data provided, there are 5 Plastic #4 bottles that are correctly placed.
Total number of Plastic #4 bottles = 5 + 2 = 7
Total number of correctly placed bottles = 5 + 8 = 13
Probability = (number of Plastic #4 bottles correctly placed) / (total number of correctly placed bottles)
Probability = 5 / 13 ≈ 0.3846
Therefore, the probability that a randomly selected bottle is correctly placed and is a Plastic #4 bottle is approximately 0.3846 or 38.46%.