(a) A sample of 2000 soccer supporters were asked their opinion on who would win next season's Premier League. The resul

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A A Sample Of 2000 Soccer Supporters Were Asked Their Opinion On Who Would Win Next Season S Premier League The Resul 1 (556.2 KiB) Viewed 19 times

(a) A sample of 2000 soccer supporters were asked their opinion on who would win next season's Premier League. The results are summarised in the following table: Male Female Total Man Utd Man City Liverpool Other Total 250 240 100 210 800 300 210 400 290 1200 550 450 500 500 2000 A supporter is chosen at random from the 2000. What is the probability that the supporter (1) thinks Man Utd will win (II) is female and thinks Liverpool will win (iii) is female given the supporter thinks Man City will win. (b) A person has 5 Mathematics books, 4 Travel books and 2 Football books. () How many ways can all of these books be arranged on a shelf? (in) In how many of the arrangements are the Travel books together? (ili) In how many of the arrangements are the football books apart? (C) A team of 5 is to be chosen randomly from 6 Irish, 3 Spanish, 6 French and 5 German people. (1) How many possible teams exist? (ii) What is the probability that the chosen team consists of no Irish and at most 2 German?