Discuss and critise the following : `P(A)=(2)/(3),P(B)=(1)/(4),P(C )=(1)/(3)` are the probilities of three mutually exclusive events A,B and C.

If (1+3p)/3,(1-p)/1,(1-2p)/2 are the probabilities of 3 mutually exclusive events then find the set of all values of p.

If the events A and B are mutually exclusive, then P( A/B) =

Statement -1 : If A,B,C are three events such that P(A)=(2)/(3),P(B)=(1)/(4) and P( C) =(1)/(6) then, A,B,C are mutually exclusive events. Statement-2 : if P(A cup B cup C) = Sigma P(A) , then A,B,C are mutually exclusive.

Statement-1 : If (1)/(5)(1+5p),(1)/(3)(1+2p),(1)/(3)(1-p) " and " (1)/(5)(1-3p) are probabilities of four mutually exclusive events, then p can take infinite number of values. Statement-2 : If A, B, C and D are four mutually exclusive events, then P(A), P(B), P(C ), P(D) ge 0 and P(A)+P(B)+P(C )+P(D) le 1

If P(A)= (1)/(4), P(B)= (1)/(3) and P(A U B)= (1)/(2) , prove that A and B are independent events

Events A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3), P(B)=(1-x)/(4) " and " P(C )=(1-2x)/(2) . The set of all possible values of x are in the interval

Give P(A)" "=3/4 and P(B)" "=1/4dot Find P(A""or""B) , if A and B are mutually exclusive events.

Give P(A)" "=3/5 and P(B)" "=1/5dot Find P(A" "or" "B) , if A and B are mutually exclusive events.

Give P(A) =3/5 and P(B) =1/5dot Find P(A or B) , if A and B are mutually exclusive events.

If A and B are two events such that P(AcupB)=(5)/(6), P(A)=(1)/(3) and P(B)=(3)/(4) , then A and B are