# DHS 18.1 - Option 11. Decisions Ryabushko AP

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Solve the following problems (1 - 6)

1.11. The foreman has to send a link to work of 5 people. How many units can be composed of 12 teams?

2.11. Lottery Tickets issued for a total amount of 10,000 USD The ticket price of 0.5 USD Valuable prizes fall to 50 tickets. The probability value of winning on one ticket.

3.11. The shop has three backup motor. For each of these probability that at the moment it is turned on, is equal to 0.2, respectively; 0.3; 0.1. Find the probability that included: a) two electric motors; b) at least one electric motor; c) three motors.

4.11. Signaling that the automatic operation deviates from the normal line, two types of LEDs are used. The likelihood that the indicator member to one of the two types are, respectively, 0.4 and 0.6. In case of violation of the line the probability of triggering an indicator of the first type is equal to 0.9, the second - 0.7. a) Find the probability that a randomly selected light work in violation of the normal line of work, b) light load. What type he likely belong?

5.11. Probability of defeat in every chess game for the player is 0.5. Find the probability that he won in six games: a) at least once; b) twice; c) at least two times.

6.11. The probability of occurrence of an event in each trial is independent 0.7. Find the probability that the event occurs 100 test not more than 70 times.