Question

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 are properly dispensed.

What is the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle?

A. 13/20

B. 7/20
C. 1/4
D. 5/8
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Answer 1

Sandra's curiosity led her to sift through recycling and trash bins, wearing gloves to keep her hands clean. She counted the plastic type of each bottle and noted which ones were properly disposed of. It's important to be mindful of our recycling behaviors and make sure we're doing our part to protect the environment. Let's all strive to recycle properly and reduce our waste!

Answer 2

We can use the formula for conditional probability to find the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle:

P(correctly placed AND Plastic #4) = P(Plastic #4 | correctly placed) * P(correctly placed)

We are given that Sandra kept track of which bottles are correctly placed and the plastic type of each bottle. Let's assume that she examined a total of 100 bottles and found that 20 of them are correctly placed and made of Plastic #4. Therefore:

P(Plastic #4 | correctly placed) = 20/20 = 1
P(correctly placed) = 20/100 = 1/5
Substituting these values into the formula, we get:

P(correctly placed AND Plastic #4) = 1 * 1/5 = 1/5

Therefore, the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle is 1/5, which is equivalent to 0.2 or 20%. The answer is not one of the given options.