DHS 18.1 - Option 14. Decisions Ryabushko AP

Solve the following problems (1 - 6)

1.14. How many ways can be distributed between 6 different books of the three students, so that each got 2 books?

2.14. Determine the probability that a randomly selected series of bonds does not contain the same numbers, if the serial number can be any five-digit number beginning with 00001.

3.14. enemy aircraft detected three radars with probabilities 0.8; 0.7; 0.5. What is the probability of detection of the aircraft; a) one radar; b) two radars; c) at least one radar?

4.14. To participate in student sports competitions allocated 10 people from the first group and 8 in the second. The probability that the first group of students will get to the team of the Institute, is equal to 0.8, while for the second group of students - 0.7. a) Find the probability that a randomly selected student went to the team of the Institute, b) The student was in the team of the Institute. In what group it most likely is learning?

5.14. Among the products subjected to heat treatment, on average, 80% of the premium. Find the probability that among the five products: a) at least four higher grade; b) four top grade; c) not more than four premium.

6.14. Find the probability of hitting the target 75 times at 100 shots, if the probability of hitting in one shot is equal to 0.8.