If `E\ a n d\ E_2` are independent events, write the value of `P(E_1uuE_2)nn( E_c1nn Ec_2)dot`

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

For any two independent events E_1 and E_2 P{(E_1uuE_2)nn(bar(E_1)nnbar(E_2)} is equal to

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

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

The letters of the word PRABABILITY are written down at random in a row. Let E_1 denotes the event that two Is are together and E_2 denotes the event that B ' s are together, then P(E_1)=P(E_2=3/(11) (b) P(E_1nnE_2)=2/(55) P(E_1uuE_2)=(18)/(55) (d) P((E_1)/(E_2))=1/5

Let E_(1) and E_(2) be two independent events such that P(E_(1))=P_(1) and P(E_(2))=P_(2) , describe in words of the events whose probabilities are (i) P_(1)P_(2) (ii) (1-P_(1))P_(2) (iii) 1-(1-P_(1))(1-P_(2)) (iv) P_(1)+P_(2)-2P_(1)P_(2)

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 A\ a n d\ B are two independent events such that P(barAnnB)=2/15\ a n d\ P( A nn barB )=1/6 , then write the values of P(A)a n d\ P(B)

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 A and B are two independent events with P(A)=3/5a n d\ P(B)=4/9, t h e n\ P( A nn B ) equals 4/(15) b. 8/(45) c. 1/3 d. 2/9