If ` E and F `are the complementary events of events `E and F ,` respectively, and if P(F) `in` [0,1]

(E) and (F) , respectively, are :

If E and F are independent events, then write P (E uu F)

Prove that if E and F are independent events, then so are the events E and F.

If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) < 1, then (a) E and F are mutually exclusive (b) E and F^c (the complement of the event F ) are independent (c) E^c and F^c are independent (d) P(E//F)+P(E^c//F)=1

If E' denote the complement of an event E , what is the value of P(E')+P( E )?

If E and F are independent events such that 0 lt P(E) lt 1 and 0 lt P(F) lt 1 , then

If E and F are two independent events and P(E)=1/3,P(F)=1/4, then find P(EuuF) .

Let E^c denote the complement of an event E. Let E,F,G be pairwise independent events with P(G) gt 0 and P(E nn F nn G)=0 Then P(E^c nn F^c nn G) equals (A) P(E^c)+P(F^c) (B) P(E^c)-P(F^c) (C) P(E^c)-P(F) (D) P(E)-P(F^c)

If F events are mutually exclusive, then write P(cap F) .

If E and F are independent events then which of the following are also independent (i) barE " and " barF (ii) E and barF (iii) barF and F (iv) None of these