Coursepack, p 609 MAT 133: (FA22) Sample Midterm Exam, p.11 12) Suppose you throw a fair 6-sided die (sides: 1, 2, ..., 6) and then flip a fair coin. Outcomes are represented sequentially; so, the event of a 3 on the die and heads on the coin would be "3H." a) Create a tree diagram to show all possible outcomes for this experiment, and also list the sample space. b) Why is this a classical probability experiment? (Circle the best choice.) It uses a coin Both coin and It isn't classical The die has six It involves and a die. die are fair. probability. sides. data c) Explain what "P(6T)" means in English with context (i.e., translate it). d) Compute the probability of getting a number that is at least 2. (Give as a fraction) e) Compute the probability of getting a number less than 5 and heads. (Give as a fraction) f) Compute the probability of getting a number more than 4 or tails. (Give as a fraction) g) The events "3T" and "1H" are: (Circle the best answer.) D Disjoint, since dice Dependent, Disjoint, since they Dependent, since they and coins are fair since dice and share no outcomes share no outcomes coins are fair