Two dice are rolled. A is the event that the sum of the numbers shown on the two dice is 5. B is the event that at least one of the two dice shows up 3. Are the two events A and B ‘exhaustive' ? Give argument in support of your answer.

Two die are rolled, A is the event that the sum of the numbers shown on the two die is 7 and B is the event that at least one of the die shows up 2. Are the two events A and B are Exhaustive.

Two die are rolled, A is the event that the sum of the numbers shown on the two die is 7 and B is the event that at least one of the die shows up 2. Are the two events A and B are Mutually exclusive.

Two die are rolled . A is the event that the sum of the numbers shown on the two dice is 5.B is the event that at least one of the dice shows up a 3. are the two events A and B (i) mutually exclusive , (ii) exhaustive ? Give arguments in support of your answer .

Two unbiased dice are thrown .Let A be the event that the sum of the digits shown on the two dice is 5 and B be the event that at least one of the dice shows up a 5. Are the two events i. mutually exclusice? (ii) exhaustive? Give arguments in support of your answer.

Two dice are rolled simultaneously. A is an event that the sum of the numbers is divisible by 9 . Then P(A) is ……….

Let E denote the random experimnet of rolling two unbiased dice and A and B are two events connected with E. The event A occur if the sum of the digits shown on the two dice is 7 while the event B occurs if at least one of the dice shows up a 4. show that the events A and B neither mutually exclusive nor exhaustive.

Two balanced dice are tossed. Find probability of the event that sum of the numbers obtain on both dice is 3 or it is multiple of 5.

Two dice are rolled once. Let A be the event that the first die shows an odd number and B be the event that the sum of the numbers on the dice is 8. Complete the following table

Two dice are thrown.If A is the event of getting the sum of the numbers on dice as 11 and B is the event of getting a number other than 5 on the first die.Find P(A and B).Are A and B are independent events?