DHS 18.1 - Option 22. Decisions Ryabushko AP

Solve the following problems (1 - 6)

1.22. How many ways can be set to play a football team consisting of three forwards, three midfielders, four defenders and the goalkeeper, if only the team 6 forwards, three midfielders, six defenders and one goalie?

2.22. Of the five cards with the letters "a", "b", "c", "d", "e" at random one after the other two are selected, and arranges them in order of extraction. What is the probability that you get the word "yes"?

3.22. details are in the box: the first - 20, of which 13 standard; in the second - 30, including 26 standard. From each box randomly take one piece. Find the probability that: a) both of the details will be non-standard; b) one-piece non-standard; c) both of the details standard.

4.22. Passengers can apply for a ticket to one of three cash registers station A or in one of the five banks station B. The probability that by the time the passenger arrival in the station ticket office A commercially available tickets is 0.6, in the station ticket offices B - 0 ,5. a) Find the probability that a randomly selected box office commercially available ticket, b) The passenger bought a ticket. The box office of the station, he probably bought?

5.22. The probability of over-fulfillment of the annual plan for each of the eight workers is 0.8. Find the probability that exceeded the annual plan: a) at least one worker; b) two workers; c) three workers.

6.22. The probability that the product - the premium is equal to 0.5. Find the probability that out of 1000 products 500 - the highest grade.