Toss a fair dice twice. Define the following events:
A ={the sum of the 2 numbers that turn up is odd}
B ={the sum of the 2 numbers that turn up is divisible by 2}
C ={the sum of the 2 numbers that turn up is divisible by 3}
a) Are events A and B ( i) independent; (ii) mutually exclusive; (iii) exhaustive ?
My Ans:
a i) Dependent
a ii) Mutually exclusive
a iii) Exhaustive
b) Are events A and C ( i) independent; (ii) mutually exclusive; (iii) exhaustive ?
b i) Dependent
b ii ) Not Mutually Exclusive
b iii) Not exhaustive.

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- anonymous

For the first one, a number cannot be both odd and divisible by two, so they are (ii), mutually exclusive. A and B are also exhaustive, since a whole number will *either* be odd or divisible by two.
For the second one, both A and C can occur together *or* apart, but there are more possible results, so they are (ii), not mutually exclusive.

- anonymous

I think I solved it too, just hope my answers are all right.

- anonymous

@snowpolar Thank for the medal :)

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