**Answer:**

**(a)The total number of outcomes where the sum is 9 or **

** greater than 9 is 10**

**(b)Total number of outcomes where the sum is odd = 18**

**(c)Total number of outcomes where the sum greater or equal to 9 and is **

** also odd = 6**

**Step-by-step explanation:**

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or, **S = {2,3,4,5,6,7,8,9,10,11,12}**

(a) The number of ordered pairs where sum is 9 or greater than 9

= { sum is 9 , Sum is 10 , Sum is 11, Sum is 12}

= {(6,3)(3,6),(4,5)(5,4) , (5,5), (6,4),(4,6) , (6,5)(5,6), (6,6)}

**Hence the total number of outcomes where the sum is 9 or **

**greater than 9 is 10**

(b) The number of ordered pairs where sum is odd.

= { Sum is 3 , Sum is 5, Sum is 7, Sum is 9, Sum is 11}

= {(1,2)(2,1), (4,1)(1,4),(2,3)(3,2) , (6,1), (1,6),(5,2),(2,5),(4,3)(3,4) ,

(6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 18

**Hence total number of outcomes where the sum is odd = 18**

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are = { Sum is 9 , Sum is 11}

={ (6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 6

**Hence total number of outcomes where the sum greater or equal to 9 and is also odd = 6**