Question

Exercises: 1. A casino decides to introduce a new game in which a player makes a single combo-flip. A combo-flip is executed by simultaneously flipping a coin and a (standard six-sided) die. Give an appropriate sample space S that consists of all possible outcomes of a combo-flip 2. A bowl contains 3 red poker chips and 1 blue poker chip. An experiment is conducted as follows: a chip is drawn out, its color noted, and then discarded. Then a second chip is drawn out, its color noted, and discarded. Finally, a third chip is drawn out, its color noted, and discarded. The outcome of the experiment is understood to be the list, in order, of the colors of the withdrawn chips, for example, BRR. Give the sample space S for the experiment. 3. Use de Morgan's Laws to re-write (a) (An B'Y (b) (A'UB'Y . Show that, for every choice of events A, B,C Do this by showing that if one takes any outcome x E A△C, then it must be true that x (AΔB) U (BLO). (a Venn diagram proof is ok too)

Answer 1