A soda company determines that there is a 3% chance that a soft drink bottle is under filled. If two bottles are selected at random, find the probability that both bottles are under filled

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To find the probability that both bottles are underfilled, you can use the multiplication rule for independent events. In this case, the two bottle selections are assumed to be independent.

The probability of the first bottle being underfilled is 3%, which can be written as 0.03 or 3/100.

Since the events are assumed to be independent, the probability of the second bottle being underfilled is also 3% or 0.03.

To find the probability of both events occurring, you multiply the individual probabilities together:
0.03 x 0.03 = 0.0009

Therefore, the probability that both bottles are underfilled is 0.0009, or 0.09%.