5. Four names are placed in a hat (Steve, Allison, Gary and Susan). Two of the names are randomly pulled from the hat. (5 marks) a) List the sample space of outcomes b) Determine the probability that Steve or Allison is chosen. c) Determine the probability that Steve and Allison are chosen 6. A group of 25 people were asked what the like to do in their spare time. They were given the choices of reading, playing video games, doing puzzles, (they can pick more than one) or none of the above. 10 people picked reading, 4 people picked puzzles, 18 people picked video games, 6 people picked reading and video games, 3 people picked reading and puzzles, 2 people picked puzzles and video games, and 1 person picked all three. (7 marks) a) Create a Venn diagram to represent the different outcomes b) Determine P(only picked Video Games) c) Determine P(picked Reading or Video games) 7. Two balls are randomly selected (without replacement) from a group of 15 balls of which 7 are red and 8 are blue and the colour of the ball selected is recorded. (6 marks) a) Create a probability tree to represent the scenario b) What is the probability of picking one of each colour? 8. Ten numbered blocks are placed in a box. Two blocks have the #1, three blocks have the #2, and five blocks have the #3. Three blocks are then randomly chosen without replacement. Determine the following probabilities. (7 marks) a) P (picking #1, then #2, then #3) b) P (picking three blocks that all have the same #) 9. A cooler contains several canned drinks. There is 25 Pepsi, 17 Gingerale and some apple juice. The probability of randomly selecting an apple juice from the cooler is approximately 31%. How many apple juice are in the cooler? (4 marks)