Solve the following problems (1 - 6)

1.10. Of the 10 candidates for the same position should be chosen 3. Identify all possible options for the election results.

2.10. Ten students have agreed to go to a particular flight with 10 electric cars, but have not agreed on the number of the car. What is the probability that none of them will not meet with the other, if possible in the placement of students in the wagons equally?

3.10. The first machine-machine yields 1% of marriage, the second - 1.5, and the third - 2%. Randomly selected one piece with each machine. What is the likelihood that the standard will be: a) the three parts; b) the two parts; c) at least one item?

4.10. Two link signal transmitted type A and B, respectively, with probabilities of 0.8 and 0.2. On average, 60% is taken of signals A type and B-type 70% Find the probability that a) the sent signal is received; b) the received signal - type A.

5.10. exam probability for each of the six students is 0.8. Find the probability that the test will pass: a) five students; b) at least five students; c) not more than five students.

6.10. Probability of hitting a target with one shot is equal to 0.8. Find the probability that the target 100 is hit by the shots of not less than 75 times

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