# Verification work on the theory of probability

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# Description

Task 1 coin thrown twice. Find the probability that at least once will be "coat of arms".
Problem 2. The shooter shoots at the goal three times. The probability of hitting the target with the first shot is 0.8, while the second - 0.7, with the third - 0.6. Find the probability of exactly one hit.
Problem 3. The sale comes televisions three plants. Production of the first plant contains 2% of TVs with a hidden defect, the second - 1%, the third - to 5%. What is the chance to buy defective TV if the store received 30% of TV sets with 1 plant, 20% - from the 2nd and 50% - in the third?
Objective 4. The probability of winning on the lottery ticket is 0.1. What is the probability that someone acquiring 7 tickets to win four of them?
Problem 5. When tossing two dice player wins 500 rubles, if the two dice rolled by 6 points, and 250 rubles if the two dice rolled by 5 points. X - winning amount. Make the law of distribution of the random variable X, find the numerical characteristics, plot the distribution function and its distribution polygon.

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