An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events. `A=` the sum is greater than 8, `B=` 2 occurs on either die, `C=` the sum is at least 7 and a multiple of 3. Also, find `AnnB ,\ BnnC\ a n d\ AnnCdot` Are : i. A and B mutually exclusive? ii. B and C mutually exclusive? iii. A and C mutually exclusive?

Explanation

When a pair of dice is rolled, the sample space will have 36 sample points

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),...........,(2,6)(3,1),(3,2)..............(3,6)(4,1),(4,2).............(4,6),(5,1),(5,2).............(5,6)(6,1),(6,2)...........(6,6)}


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


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


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

...