Answer:
(A) n(Eᶜ)=40
Step-by-step explanation:
The Sample Space for is given as:
(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11)
(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11)
(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11)
(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11)
(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)
(6,7),(6,8),(6,9),(6,10),(6,11)
(7,8),(7,9),(7,10),(7,11)
(8,9),(8,10),(8,11)
(9,10),(9,11)
(10,11)
n(S)=55
Event E is the Event that the two numbers are odd.
Therefore: Complement of E will be the event that any of the two numbers is even.
The Sample Space of the complement of E is:
![(1,2),(1,4),(1,6),(1,8),(1,10)\\(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11)\\(3,4),(3,6),(3,8),(3,10)\\(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11)\\(5,6),(5,8),(5,10)\\(6,7),(6,8),(6,9),(6,10),(6,11)\\(7,8),(7,10)\\(8,9),(8,10),(8,11)\\(9,10)\\(10,11)\\](https://tex.z-dn.net/?f=%281%2C2%29%2C%281%2C4%29%2C%281%2C6%29%2C%281%2C8%29%2C%281%2C10%29%5C%5C%282%2C3%29%2C%282%2C4%29%2C%282%2C5%29%2C%282%2C6%29%2C%282%2C7%29%2C%282%2C8%29%2C%282%2C9%29%2C%282%2C10%29%2C%282%2C11%29%5C%5C%283%2C4%29%2C%283%2C6%29%2C%283%2C8%29%2C%283%2C10%29%5C%5C%284%2C5%29%2C%284%2C6%29%2C%284%2C7%29%2C%284%2C8%29%2C%284%2C9%29%2C%284%2C10%29%2C%284%2C11%29%5C%5C%285%2C6%29%2C%285%2C8%29%2C%285%2C10%29%5C%5C%286%2C7%29%2C%286%2C8%29%2C%286%2C9%29%2C%286%2C10%29%2C%286%2C11%29%5C%5C%287%2C8%29%2C%287%2C10%29%5C%5C%288%2C9%29%2C%288%2C10%29%2C%288%2C11%29%5C%5C%289%2C10%29%5C%5C%2810%2C11%29%5C%5C)
Therefore:
n(Eᶜ)=40