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.

If the events A and B are mutually exclusive then-

If A and B are two mutually exclusive events, then-

If the events A and B are not mutually exclusive then P(A cup B) =

If A and B are two mutually exclusive event then P(A-B) =

Describe the following events A,B, and C in the random experiment of tossing three unbiased coins : A: event of getting two heads, B: event of getting three heads. C: event of getting atmost one head. Show that (i) B is a simple event while A and C are compound events, (ii) events A,B,C are mutually exclusive and exhaustive.

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

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.

A die thrown twice. If A is the event of getting a multiple of three in first through and B is the event of getting a sum less than 8 in two throws, then P(A//B) =

A balanced coin is tossed three times in succession. Let A denote the event of getting 'head' in the first toss and B the event of getting 'tail' in the second toss. Prove that the events A and B are independent.

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