Question

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 4} B: {The sum of the numbers on the dice is 11} Identify the sample points in the event A ∪ B. There are no sample points in the event A ∪ B. {(1, 4), (2, 3), (3, 2), (4, 1), (5, 6), (6, 5)} {(1, 3), (2, 2), (3, 1), (5, 6), (6, 5)} {(1, 4), (2, 2), (4, 1), (5, 6), (6, 5)}

Answer 1

Answer: 5/36

Step-by-step explanation: We know that A U B means all the possible combinations that make event A or event B true. As we know, the only combinations that can make 4 is 1+3, 2+2, or 3+1, and the only combinations that can maker 11 is 5+6 and 6+5. This leaves us with a total of 5 combinations, and with a total of 36 combinations, that means that there is a 5/36 chance that the combinations of the dice add to either 4 or 11.