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?
To find the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle, we need to divide the number of Plastic #4 bottles that are correctly placed by the total number of bottles.
Correctly Placed Plastic #4 bottles = 5
Total number of bottles = (Correctly Placed Plastic #2 + Correctly Placed Plastic #4 + Incorrectly Placed Plastic #2 + Incorrectly Placed Plastic #4)
= (8 + 5 + 5 + 2)
= 20
Therefore, the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle is:
P(Correctly Placed and Plastic #4) = (Correctly Placed Plastic #4) / (Total number of bottles)
= 5 / 20
= 1/4
= 0.25
So, the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle is 0.25 or 25%.