MAT 133: 5.1 WS 3 p.3 6. A section of an exam contains four True-False questions. A student who did not study takes this exam and randomly guesses on these four questions. a) Using the multiplication rule, how many different ways can four questions be filled out randomly by the student? (show work) b) Construct the sample space using a tree diagram. (Use T for True and F for False) c) Assuming the outcomes to be equally likely, find the probability that all the answers are "False". (Give reduced fraction) d) Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "False". (Give reduced fraction) e) Assuming the outcomes to be equally likely, find the probability that exactly two answers are "True" and two answers are "False". (Give reduced fraction)Section ii: ____'_.__- 5.2: The Addition Rule and Complements 1. Determine whether events A and B are disjomt (a.k.a. mutually exclusive) or not. 8. Selecting a registered voter: A = The voter is a mother, B = The voter is a Democrat Disjoint Not Disjoint b. Selecting a single voter on election day 2020'. A = The voter drives to the polling station, 3 = The voter bicycles to the polling station Disjoint Not Disjoint 2. As part of an experiment, subjects have a random fruit flavor additive placed in their water. The spinner to the right is used to determine the avor for each participant. (NOTE: The dotted lines show equal sections of the circle.) You are going to spin the wheel once for one participant: a. Are all the outcomes in the sample space equally likely? Explain. b. What is the probability that the participant gets Peach avor? gets Grape or Peach Flavor? c. What is the probability the participant NOT get Grape Flavor? d. What is the probability the participant does