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.
Plastic #2
Correctly Placed
8
Incorrectly Placed
5
Plastic #4
5
Correctly placed
2
Incorrectly placed
What is the probability that a randomly selected bottle is correctly placed AND is a
Plastic #4 bottle?
(1 point)
5/8
1/4
7/20
13/20
To find the probability that a randomly selected bottle is correctly placed and is a Plastic #4 bottle, we need to use the information given:
Number of Plastic #4 bottles correctly placed = 2
Total number of bottles correctly placed = 2 (Plastic #2) + 2 (Plastic #4) = 4
Probability = Number of outcomes in which both events occur / Total number of possible outcomes
Probability = 2 / 4
Probability = 1/2
Therefore, the probability that a randomly selected bottle is correctly placed and is a Plastic #4 bottle is 1/2.