1.

Two dice are thrown. The events A, B and C are as follows:A: getting an even number on the first die.B: getting an odd number on the first die.C: getting the sum of the numbers on the dice ≤ 5State true or false: (give reason for your answer)(i) A and B are mutually exclusive(ii) A and B are mutually exclusive and exhaustive(iii) (iv) A and C are mutually exclusive(v) A and aremutually exclusive(vi) aremutually exclusive and exhaustive.

Answer»

Two dice are thrown. The events A, B and C are as follows:


A: getting an even number on the first die.


B: getting an odd number on the first die.


C: getting the sum of the numbers on the dice ≤ 5


State true or false: (give reason for your answer)


(i) A and B are mutually exclusive


(ii) A and B are mutually exclusive and exhaustive


(iii)


(iv) A and C are mutually exclusive


(v) A and
are
mutually exclusive


(vi)
are
mutually exclusive and exhaustive.



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