2. The game of craps is played with two dice. A player throws both dice, winning unconditionally if he produces the numbers showing on the two dice is 7 or 11), and losing unconditionally if he throws craps (the sum is 2,3 following events: A: {Player throws craps} B: {Player throws a natural} C: {Sum of the two dice is 9, 10, or 11} a) Which pairs of events, if any, are mutually exclusive? Why? b) Which pairs of events, if any, are independent? Why? 3. In a certain county, 45% of the registered voters are Democrats, 35% are Republicans, and 20% are Independ the Democrats, 80% of the Republicans, and 30% of the Independents favored increased spending to combat chosen at random from the county does not favor increased spending to combat terrorism, what is the probabili Democrat