1. Roll a die, and consider the following two events: E = {2, 4, 6}, F = {3, 6}. Are the events E and F independent?
2. Roll a die, and consider the following two events: E = {2, 4, 6}, F = {3, 4, 6}. Are the events E and F independent?
3. Rolling Dice Roll a pair of dice, and consider the sum of the two numbers. Are the events "the sum is an odd number" and "the sum is 4, 5, or 6" independent?
4. Rolling Dice Roll a pair of dice, and consider the sum of the two numbers. Are the events "the sum is an odd number" and "the sum is 5, 6, or 7" independent?