Solve the following problems (1 - 6)

1.16. In how many different ways a collection consisting of 40 people, can choose the meeting chairman, deputy chairman and secretary?

2.16. A batch of 100 items checked controller, which randomly selects 10 items and determine their quality. If there is no defective, the entire batch is accepted among the selected controller details. Otherwise, it is sent to an additional check. What is the likelihood that the party details, contains 5 defective, the controller will be accepted?

3.16. The shooter made four shots on goal receding from it, and the probability of hitting the target at the start of shooting is 0.7, and after each shot decreases by 0.1. Calculate the probability that the target will be destroyed: a) four times; b) three times; c) at least three times.

4.16. The two boxes are the same type capacitors. In the first 20 capacitors 2 of them faulty, the second - 10, 3 of them are faulty, a) Find the probability that a randomly taken from randomly selected capacitor box is fit for use, b) taken at random turned out to fit the condenser. From a box he was likely taken?

5.16. After zubofrezerovki gears from working on average earn 20% of non-standard gear. Find the probability that among six gears combined nonstandard be: a) three; b) not more than three; c) at least one.

6.16. Industrial TV System contains 2000 transistors. The probability of failure of each of the transistors is equal to 0.0005. Find the probability of failure of at least one transistor.

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