1. How many paths are there from G to H in the diagram (above right) if you can only move south or east . (4 marks) Consider the arrangements of the letters FRACTION (8 marks) a) How many different arrangements are possible? b) In a random arrangement, what is the probability that it starts and ends with a vowel? c) What is the probability the work FACT appears in the arrangement? A group of people consists of 5 adults and 11 children in which a group of 4 people are selected. Evaluate the following. (6 marks) a) The probability that 2 adults and two children are selected. b) The probability that at least one adult is selected. There are seven different coloured blocks. Five of these blocks are randomly arranged in order. Determine the following. (10 marks) a) The probability that the green block is rst and the red block is last. b) The probability that the green block is rst or the red block is last. 0) The probability that the green block and red block are beside each other. Four cards are dealt from a well shufed deck. What is the probability of being dealt three of a kind? (ex. Three ves and a king or three twos and a seven etc) (4 marks) A set of 3 points is chosen randomly from the grid shown. ' ' " Each set has the same probability of being chosen. What is the probability that the points lie in a straight line? ' ' (4 marks) An electronic game of chance is created in which you have three attempts. The probability of winning the rst attempt is 50%. Any time you win, the probabililty of you winning the next attempt increases by 5%. Any time you lose, the probability of you winning the next attempt decreases by 10%. What is the probability of winning at least two of the three attempts