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 ≤5i. State true or false: (give reason for your answer)A and B are mutually exclusive.ii. State true or false: (give reason for your answer)A and B are mutually exclusive and exhaustive.iii. State true or false: (give reason for your answer)A=B'.iv. State true or false: (give reason for your answer)A and C are mutually exclusive.v. State true or false: (give reason for your answer)A and B′ are mutually exclusive.vi. State true or false: (give reason for your answer)A',B',C are mutually exclusive and exhaustive.

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

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 ≤5i. State true or false: (give reason for your answer)A and B are mutually exclusive.ii. State true or false: (give reason for your answer)A and B are mutually exclusive and exhaustive.iii. State true or false: (give reason for your answer)A=B'.iv. State true or false: (give reason for your answer)A and C are mutually exclusive.v. State true or false: (give reason for your answer)A and B′ are mutually exclusive.vi. State true or false: (give reason for your answer)A',B',C are mutually 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 $\leq 5$ $i .$ State true or false: (give reason for your answer) $A$ and $B$ are mutually exclusive. $i i .$ State true or false: (give reason for your answer) $A$ and $B$ are mutually exclusive and exhaustive. $i i i .$ State true or false: (give reason for your answer) $A = B'$ . $i v .$ State true or false: (give reason for your answer) $A$ and $C$ are mutually exclusive. $v .$ State true or false: (give reason for your answer) $A$ and $B^{'}$ are mutually exclusive. $v i .$ State true or false: (give reason for your answer) $A', B', C$ are mutually exclusive and exhaustive.

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