In Milton, there is a 4% chance at any time that part of Main Street will be closed for repairs. There is a 3% chance that part of Thompson Road will be closed for repairs. Assuming that the chances of a closure on each road are independent, find the probability that at a given time, neither road will be closed. Feel free to do this by hand and upload your image.

1 - .03 * .04 = 99.88%

wouldn't it be 88?

.03 * .04 is not .12

To solve this problem, we can use the concept of independent events and the multiplication rule of probability.

The probability that Main Street will be closed is 4%, which means the probability that it will not be closed is 100% - 4% = 96% or 0.96. Similarly, the probability that Thompson Road will be closed is 3%, so the probability that it will not be closed is 100% - 3% = 97% or 0.97.

Since the closures on the two roads are assumed to be independent events, we can multiply their probabilities together to find the probability that both roads will not be closed simultaneously:

Probability (Neither Road Closed) = Probability (Main Street not closed) * Probability (Thompson Road not closed)
= 0.96 * 0.97
= 0.9312 or 93.12%

Hence, the probability that at a given time, neither road will be closed in Milton is 93.12%.