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Here's the translation and solution for each problem: 1) **Problem:** The probability that at any random moment the atmospheric pressure exceeds 755 mm Hg in a city is 0.71. Find the probability that at any random moment the pressure is less than or equal to 755 mm Hg. **Solution:** Probability = 1 - 0.71 = 0.29 2) **Problem:** In a box, there are visually identical chocolate candies: 6 with caramel, 8 with nuts, and 3 without filling. A random candy is taken. Find the probability that it is with caramel. **Solution:** Total candies = 6 + 8 + 3 = 17 Probability (caramel) = 6/17 3) **Problem:** For the production of a pipe with a diameter of 30 mm, the diameter will deviate from the nominal size by no more than 0.2 mm with probability 0.74. What is the probability that the deviation will be more than 0.2 mm? **Solution:** Probability = 1 - 0.74 = 0.26 4) **Problem:** There are 40 boys and 20 girls in a class. A name is randomly chosen. What is the probability that it will be a girl's name? **Solution:** Total students = 40 + 20 = 60 Probability (girl) = 20/60 = 1/3 5) **Problem:** Two friends decided to listen to different music groups, one chose a group from Bryansk and the other from Volgograd. They independently name the groups they listen to. What is the probability that one of them listens to a group from Bryansk, but the other does not listen to a group from Volgograd? **Solution:** Since they decide independently, we can assume the probability is 1/2 for each of them listening to their respective group: Probability (Bryansk and not Volgograd) = 0.5 * (1 - 0.5) = 0.5 * 0.5 = 0.25 These calculations assume simplifications typical for basic probability questions.