In a bag are 5 discs, numbered 1, 2, 3, 4, and 5. Three discs are chosen at random. If the random variable X denotes the sum of the drawn discs, then determine the following probabilities. Do this by enlisting the sample space and determining the sample points.
a. Find the probability that the sum is greater than 10. b. Find the probability that the sum is less than 8. c. Find the probability that the sum is less than 6. d. Find the probability that the numbers consist of one odd and two even. e. Find the probability that the sum is a prime number
