Exercise 4. For the experiment of rolling a single six-sided die once, define events T: the number rolled is three G: the number rolled is four or greater a. List the outcomes that comprise T and G b. List the outcomes that comprise TnG,TUG,Te, and (TUG) c. Assuming all outcomes are equally likely, find P(T nG), P(TU G), and P(T) Determine whether or not T and G are mutually exclusive. Explain why or why not. d.

A spinner has three sections, each with different point values and areas:The lose-a-point section is 2/3 the area of the spinner.The 2-point section is 1/4 the area of the spinner.The 3-point section is 1/12 the area of the spinner. Outcome value, x Lose-a-pt: -1     Probability, P 2/3

A study of the incoming freshman class at a university found that 60% of the students had taken AP Calculus in high school, 55% had taken AP English in high school, and 20% had taken both AP Calculus and AP English. One incoming freshman is randomly selected from the population of incoming freshman. Let: C = the selected student took AP Calculus E = the selected student took AP English What is the probability that the selected incoming freshman took AP English or AP Calculus, i.e. P( C or E)? 0.15 O 0.75 0.80 0.05 0.95

Based on a​ survey, assume that 27​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly​ selected, exactly two of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q.