Solve the following problems (1 - 6)

1.27. The station has 6 sidings. In how many ways you can arrange them 4 trains?

2.27. In the workshop for repair received 20 televisions. It is known that 7 of them need to be tuned. Master takes any 5 TVs. What is the probability that two of them need to be configured?

3.27. Three machine parts are made. The probability that the part made the first automatic - the highest quality, equal to 0.9, for the second - 0.7, for the third - 0.6. Randomly take one piece with each machine. Find the probability that the parts taken from: a) all of the highest quality; b) two of the highest quality; c) at least one of the highest quality.

4.27. To participate in student sports competitions allocated from the first group of 5 students of the second and third - 6 and 10 students. The probability of the master of sports rules for students of the first group is equal to 0.3, the second - 0.4, the third - 0.2. Find the probability that; a) a randomly selected student will fulfill the norm of the master of sports; b) the student who made the norm of the master of sports, studying in the second group.

5.27. Probability of hitting a target with one shot is 0.6. Produced by 5 shots. Find the probability that there will be a: a) Four defeats the purpose; b) at least four lesions; c) three defeats.

6.27. The average number of aircraft arriving at the airport 1 min is 2. Find the probability that in 6 minutes to arrive 5 aircraft if the aircraft arriving stream simplest.

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