***PREVIOUS TUTOR USED ANSWERS OFF OF CHEGG SO PLEASE DO NOT TAKE THIS IF YOU DO NOT KNOW HOW TO ACTUALLY EXPLAIN.***

1.) Two dice are rolled and their sum is recorded. (The possible outcomes to this experiment are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.) Carlos says that it is more likely that you'll roll an even sum than an odd sum since there are 6 ways to roll an even sum but only 5 ways to roll an odd sum. Is he right or wrong? Explain your reasoning.

2.) Ashley claims that if a fair coin is tossed and comes up heads 5 times in a row, then according to the law of averages, the probability of tails on the next toss is greater than the probability of heads. Is Ashley correct? Explain.

3.) What is the same and what is different between complementary events and mutually exclusive events?