# DHS 18.1 - Option 20. Decisions Ryabushko AP

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Solve the following problems (1 - 6)

1.20. In how many ways you can arrange the white pieces (2 horses, 2 elephants, 2 rooks, 1 queen, 1 king) on the first line of the chessboard?

2.20. From the pond, where the float 40 pike, pike caught 5, tagged them and allowed back into the pond. For the second time we caught pike 9. What is the probability that among them there will be only two tagged pike?

3.20. Three sports society team A will compete with three teams, respectively Society B. The probability of winning the first, second and third teams from the company A in the corresponding commands from the society in equal 0.7; 0.6; 0.4. Teams held one meeting. What is the probability that Team A will benefit society: a) two meetings; b) at least two meetings; c) three meetings?

4.20. To search for lander spacecraft allocated 4 helicopters of the first type and the second type of 6 helicopters. Each helicopter detects a first type located in the search area with the probability of 0.6 unit of a second type - with a probability of 0.7. a) Find the probability that a randomly selected helicopter detects the device, b) What type most likely belongs to a helicopter discovered the lander?

5.20. The probability that the product will pass control, is 0.8. Find the probability that the product of the six control will: a) five items; b) at least five products; c) not more than five products.

6.20. Spinner serves 1000 spindles. Probability thread breakage on one spindle for 1 min is 0.004. Find the probability that within 1 minute break will occur at six spindles.