1. We are rolling 2 fair dice each with n sides. We will roll both and the the largest outcome of one of the two dice. For example if we n is 8 and the outcome is a 7 and 2, then the result is 7. . Give the expected value as a summation? . What is the closed form of the summation?

9. By rewriting the formula for the Multiplication Rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = P(A) the information below to find the probability that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.92. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.) . Use

Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the probability that you get both heads and tails.(a) How many different outcomes can you get?(b) How many different outcomes contain both heads and tails?(c) What is the probability that you got both heads and tails?

Two dice are rolled. Find the odds of roling the following (a) in reduced form, the odds in favor of rolling a sum of 5 areoU (Simplity your answers.) (a) A sum of 5 (b) A sum of 9 or 11 (c) A Sum less than 5 (d) Not a sum of 8 (b) in reduced form, the odds in favor of rolling a sum of 9 or 11 are (Simplity your answers) (e) In reduced form, the odds in favor of rolling a sum less than 5 are to (Simplity your answers.) (d) in reduced form, the odds in favor of not rolling a sum of 8 are (Simplity your answers.)