A restaurant is serving dinner during a German Opera Performance. There are three dinner options: pork schnitzel (41 orders), chicken kiev (58 orders), and vegetarian spaetzle (21 orders). There are three drink options: Riesling (53 orders), pinot noir (57 orders), and non-alcoholic (10 orders). Gustav, the event coordinator, has been informed that the venue moving from tables of 10 to tables of 6. Calculate the likelihood of events with the old number of tables and with the new number of tables. a. How likely a table will have all one meal, regardless of drink b. How likely a table will have at least 3 vegetarian meals and at least 3 drinking pinot noir C. How likely a table will have exactly 1 pork meal How likely a table will have two or more people with no alcohol e. How likely a table will have half the table drinking red wine and half drinking white Gerhardt learns that in billiards, there is an equal likelihood of sinking any ball that is on the outside of a rack on the first shot (the break), There are 15 balls, arranged with 3 on the interior. On a break, it is indicated that there is a 53 per cent change of sinking a ball. There are 6 solids, numbered 1 through 6, and 6 stripes, numbered 9 through 14, racked around the outside. In addition to the answer, indicated (in words) what the complement will be each case and then indicate the probability. a. How likely a solid will be sunk on the break b. How likely the 1, 2, or 3 ball will be sunk on the break c. How likely that an even-numbered ball will be sunk d. How likely the same ball would be sunk on the break in two consecutive games e. How likely two even-numbered balls will be sunk on the break in two consecutive games Frieda and Helga are university students and fans of the Bundesliga, the premier football league in Germany which consists of 18 teams. While at a Wolfsburg game, they get into a discussion about statistics. They wonder the following events, which you will either support to criticise: a. Frieda wonders if the home team advantage could be quantified as the same for each team in the league b. Helga notes that 22.83 per cent of Bundesliga fans are supporters of Bayern Munich. She reasons that this means that it must be the most popular team in the league C. At half, Wolfsburg is losing 1-0. Frieda notes that the mean number of goals per game is 3.03 and that is it likely that the game will be tied again d. Helga notes after the game that there were 13 corner kicks in the match, only three of which were awarded to Wolfsburg. She considers this "extremely unlikely" e. Helga and Frieda argue about how likely it is that the team will avoid finishing in last place. In order to do so, they'll need to win three of the final four games of the season, which they determine is about 25 per cent likely. Johann is a businessman from Geneva