An experiment involves rolling 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 the least 7 and a mutually exclusive?
Which pairs of three events are mutually exclusive?

Two dice are thrown and the sum of the number which come up on the dice is noted. Let us consider the following events associated with the experiment A: 'the sum is even'. B: 'the sum is a multiple of 3'. C: 'the sum is less than 4'. D: 'the sum is greater than 11'. Which pairs of these events are mutually exclusive?

A coin is tossed three times, consider the following events. A : ‘No head appears’, B: ‘Exactly one head appears’ and C: ‘Atleast two appear’. Do they form a set of mutually exclusive and exhaustive events?

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.

In the random rxperiment of rolling an unbiased die, let A be the event of getting a digit less than 4 and B be then event of getting a digit greater than 3 , show that the events A and B are mutually exclusive and exhaustive.

Three unbaised coins are tossed simultaneously. Describe two events A and B which are mutually exclusive,

A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

Three unbaised coins are tossed simultaneously. Describe two events E and F which are not mutually exclusive,

P(A)=1/2 ,P(B)=2/5 and P(A cup B) =0.7 state whether the events A and B are mutually exclusive

The numbers 2,3,4,5 and 6 written on five pieces of paper. Theses pieces of paper are put in a bag and then mixed thoroughly. A man draws at random two pieces of paper from the bag one after the other without replacement. Describe the following events associated with this random experiment : A : the number on the first piece is less than the one on the second piece, B: the sum of the numbers on the two pieces is 8 or 9 , C: the number on the first piece is odd and D: the number on the second piece is greater than 4. Is there any pair of events which are mutually exclusive?

Three unbaised coins are tossed simultaneously. Describe three events A, B and C which are mutually exclusive and exhaustive,