Graphs

 Lotto game Lotto must choose 7 numbers out of 35 possible. At the draw drawn 7 numbers and 4 "additional code" without replacement. Each line costs 3 SEK. Winnings are paid according to the following plan: Profit Group Profit Distribution (percent) 7 right 35 6 + 1 right 24:06 right 7:05 a.m. right 24:04 right 34 When a draw looked the dividend as follows: On the next pages you will find tasks to be solved. Keep in mind that not only the "right answer" is important, but also the way there. The solutions should be mathematically correct and easy to follow. It involves using the correct symbols and concepts write down and explain all the steps, draw figures and graphs write down the formulas and relationships to use, enter the answer Good luck! Right row: 5 8 9 10 26 27 34 Additional number: 2:18 a.m. 19:22 Dividend 7 right 3 pcs 1,606,140 SEK 6 right + additional 33 pcs 29 333 SEK 6 right 194 pcs 2910 SEK 5 right 9512 pcs 101 SEK 4 right 138 821 pcs 19 SEK E level 1. Imagine that you have recorded a series of Lotto. You sit and look at the draw. a) What is the probability that the first number drawn is on your line? b) What is the probability that the first three numbers drawn are in your range? c) Imagine that the first five drawn numbers are on your row. What is the probability that even the last two numbers are included on your line? 2. From the drawing presented on the previous page. How big is the probability that a randomly selected payline provides more than 1000 SEK? C-Level Determine the probability of the following events for a number at a draw. (Ignoring additional code) a) seven right. b) The first six numbers right, and the final number is wrong. c) Six right. A level Approximately how many lines should have participated in the draw as shown on the previous page? Remember to report your reasoning in detail. If you want, you can start from the response of C-level C-task.