Be sure to describe or define probability, sample space, event, and possibly other terms in your paper introduction. Include calculations and solutions in the body of your paper.

Questions:

1. Two three-sided dice are rolled. One die has the numbers 1, 3, and 5. The other has the numbers 2, 4, and 6.
   1. How many elements are in the sample space?
   2. Express the event the two dice sum to less than eight as a set (show each of the possible combinations).
   3. What is the probability that the two dice sum to less than eight?
2. The odds in favor of passing out in a high speed jet are 17:3. What is the probability that a randomly selected person will not pass out?
3. A random number generator only generates the numbers 1, 2, 3, 4, and 5. What is the probability that the next number generated by the number generator will be:
   1. A five?
   2. An even number?
   3. A number greater than 2?
   4. An even number greater than 4?