Can two mutually exclusive events with positive probabilities be independent ? Give reasons.

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

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

Show that two independent events with positive probabilities can't be mutually exclusive and vice versa.

Events Aa n dC are independent. If the probabilities relating A ,B ,a n dC are P(A)=1//5, P(B)=1//6; P(AnnC)=1//20 ; P(BuuC)=3//8. Then (a)events Ba n dC are independent (b)events Ba n dC are mutually exclusive events.(c) Ba n dC are neither independent nor mutually exclusive (d)events Ba n dC are equiprobable

Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Statement-I : 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-II : 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.

Suppose A and B are two events with P(A) = 0.5 and P(AuuB)=0.8LetP(B)=p if A and B are mutually exclusive and P(B)=q if A and B are independent events, then value of q/p is ____.

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

A,B,C and D are four mutually exclusive and exhuastive events. If the odds against the events B,C and D are 7 : 2 , 7 : 5 , and 13:5 respectively, find the odds in favour of the event A.

A and B are two events, not mutually exclusive, connected with a random experiment E. if P(A) = (1)/(4), P(B) = (2)/(5) and P(A cap B) = (1)/(2) , Find the values of the following probabilites : P(A cup B)