# DHS 18.1 - Option 19. Decisions Ryabushko AP

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Solve the following problems (1 - 6)

1.19. How many ways can be modeled flag consists of three horizontal stripes of different colors, if there is a material five different colors?

2.19. Out of the box, containing a card with the letters "o", "n", "k", "b", is removed at random one card after another, and are arranged in the extraction procedure. What is the probability that the result will be the word "horse"?

3.19. The probability of winning the lottery ticket for the first release is 0.2, the second - 0.3. There are two tickets for each issue. Find the probability that the benefit: a) three tickets; b) at least three tickets; c) at least three tickets.

4.19. Telegraph message consists of a signal "dot" and "dash", they occur in the transmitted messages in a ratio of 5: 3 Static interference properties are such that distorted the average 2/5 "spot" messages and 1/3 "dash" messages. Find the probability that; a) the transmitted signal is received; b) the received signal - "dash".

5.19. The probability of hitting the target with one shot is 0.4. Produced by 8 shots. Find the probability of hitting the target: a) three times; b) the most probable number of times; c) at least once.

6.19. The probability of occurrence of an event in each of the 21 independent tests is 0.7. Find the probability that the event occurs at least 11 times.