(CONDITIONAL PROBABILITY)

Create a reduced sample space and find the requested probabilities. A pair of dice is rolled and the sum of the dice is recorded, determine the probability that: (Write your answer as a reduced fraction.)

a.) The sum is greater than 5 given the first dice is a 4.

b) The sum is greater than 9 given the second dice is a 6.

c) The sum is even given the second dice is a 4

d) The sum is odd given the first dice is a 3

e) A double is rolled given neither dice is a 4

f) A double is not rolled given the sum is greater than 10

g) The sum is less than 3 given the first dice is a 2

h) The sum is greater than 10 given the first dice is a 3