You are once again rolling two dice. The dice have the shape of a regular tetrahedron (triangular pyramid) with sides numbered 1, 2, 3, and 4.
1. Complete the sample space chart to show the set of all possible outcomes, and the probability distribution table for the sum of your two dice. You may leave your answers in fraction form.
2. Determine the following probabilities. For full credit, use the compound probability rules to show how to compute your answer, and state whether the events are independent, dependent, mutually exclusive, or not mutually exclusive.
a. P(rolling doubles OR a sum of 5) =
b. P(rolling doubles AND a sum of 6) =
c. P(rolling doubles OR a sum of 6) =
Roll two 6-sided dice and examine their sum.
a) How long will it take to roll "snake-eyes" (a pair of ones)?
b) What is the probability of rolling a sum of 7 on the first roll?
c) What is the probability of rolling a sum of 7 on the fourth roll?
d) What is the probability of rolling a sum of 7 by the fourth roll?
e) What is the probability of it taking more than 10 rolls to roll the sum of 7?
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