Solve the following problems (1 - 6)

1.5. The chess tournament was attended by 14 players, each of them played with each one of the party. How many games are played?

2.5. In the group of skiers and athletes 7 3 skater. From it randomly allocated three athletes. Find the probability that all the selected athletes will be skiers.

3.5. The probability of hitting the target the first shooter is 0.9 second - 0.7. Both hand made by one shot. What is the probability that the target hit by: a) at least once; b) twice; c) Once?

4.5. Picker gets to build 30% of the parts from the plant number 1, 20% - with the plant number 2, the other - with the plant number 3. The probability that the item with the plant number 1 - the highest quality, equal to 0.9, with the plant number 2 - 0.8, with the plant number 3 - 0.6. Find the probability that: a) randomly taken part - of the highest quality; b) randomly taken higher quality item manufactured at the plant number 2.

5.5. The probability of successful completion of each of the five student exams is 0.7. Find the probability of successful completion of: a) three exams; b) two exams; c) not less than two exams.

6.5. Probability of production of defective parts is equal to 0.008. Find the probability of that test made at 10 in 1000 parts defective.

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