Consider a pair of five sided dice, the face being 1,2,3,4,5 on each die.a)Build a sample space that represents rolling the pair and recording the sum. What are all of the possibilities?b)Make a probability distribution for the sum of this pair of dice using the sample space.c)What is the probability that the sum of the two dice is 6?d)What is the probability that the sum is 2?e)What is the probability that the first die in the pair is a 3?f) What is the probability that the sum is 6 and the first is a 3?g) What is the probability that the sum is 6 or the first is a 3?

Consider a pair of five sided dice, the face being 1,2,3,4,5 on each die.a)Build a sample space that represents rolling the pair and recording the sum. Whatare all of the possibilities?Sample…