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?
(1 point)
Responses
58
5
8
5 eighths
1320
13
20
13 over 20
720
7
20
7 over 20
14
The probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle can be calculated by taking the number of Plastic #4 bottles that are correctly placed and dividing it by the total number of bottles:
Number of Plastic #4 bottles correctly placed = 5
Total number of Plastic #4 bottles = 5 (correctly placed) + 2 (incorrectly placed) = 7
Total number of bottles = 8 (Plastic #2) + 7 (Plastic #4) = 15
Probability = (Number of Plastic #4 bottles correctly placed) / (Total number of bottles)
Probability = 5 / 15
Probability = 1/3
Therefore, the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle is 1/3.
Submit shown work:
Number of Plastic #4 bottles correctly placed = 5
Total number of Plastic #4 bottles = 5 + 2 = 7
Total number of bottles = 8 + 7 = 15
Probability = 5 / 15
Probability = 1/3