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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
8
5 eighths

1320
13
20
13 over 20

720
7
20
7 over 20

14

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 are correctly placed and divide it by the total number of bottles.

Correctly Placed Plastic #4 bottles = 5
Total Plastic #4 bottles = 5 + 2 = 7 (correctly placed + incorrectly placed)

Probability = Correctly Placed Plastic #4 bottles / Total Plastic #4 bottles
Probability = 5 / 7 = 5/7

Therefore, the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle is 5/7.

The correct answer is 5 over 7.