Reshebnik Ryabushko. Solved IDZ 18.1, Option 19

Solve the following problems (1 - 6)

1.19. How many ways can you model a flag with three horizontal stripes of different colors if you have a material of five different colors?

2.19. From a box containing cards with the letters "o", "n", "k", "b", one card after another is taken out at random and placed in the order of extraction. What is the probability that the word "horse" will be the result?

3.19. The probability of winning a lottery ticket for the first issue is 0,2, for the second - 0,3. There are two tickets for each issue. Find the probability that the following will win: a) three tickets; b) at least three tickets; c) less than three tickets.

4.19. A telegraph message consists of “dot” and “dash” signals, they occur in transmitted messages in a ratio of 5: 3. The static properties of interference are such that on average 2/5 of “dot” messages and 1/3 of “dash” messages are distorted. Find the probability that; a) the transmitted signal is received; b) the received signal is a "dash".

5.19. The probability of hitting a target with one shot is 0,4. 8 shots were fired. Find the probability of hitting the target: a) three times; b) the most likely number of times; c) at least once.

6.19. The probability of an event occurring in each of the 21 independent trials is 0,7. Find the probability that the event will occur at least 11 times.