In ` A B C ,P` is an interior point such that `/_P A B=10^0/_P B A=20^0,/_P C A=30^0,/_P A C=40^0` then ` A B C` is (a) isosoceles (b) right angled (c) obtuse angled

If A,B and C are three events such that P(A)=P(B)=P(C)=(1)/(4),P(AB)=P(CB)=0,P(AC)=(1)/(8) then P(A+B)=

If A and B are two events such that P(A)=0.3 , P(B)=0.25 , P(AnnB)=0.2 , then P(((A^(C ))/(B^(C )))^(C )) is equal to

If two events A and B are such that P(A^(C))=0.3, P(B)=0.4 and P(A nn B^(C))=0.5 then P(B//A uu B^(C)) is

If A, B, C are events such that P(A)=0.3,P(B)=0.4,P(C )=0.8 P(AnnB)=0.08,P(AnnC)=0.28 P(AnnBnnC)=0.09 If P(AuuBuuC)ge0.75 , then find the range of x=P(BnnC) lies in the interval.

If A and B are two events such that P(A)!=0 and P(B" "|" "A)" "=" "1 ; then (A) AsubB (B) BsubA (C) B=varphi (D) A=varphi

If A, B, C are events such that P(A) = 0.3, P(B) =0.4, P( C) = 0.8, P(A^B) = 0.09, P(A^C) = 0.28, P(A^B^C) = 0.08. If P(AcupBcupC)ge0.75 then P(B^C) lies in the interval

If A and B are mutually exclusive events such that P(A)=0.25, P(B)=0.4, then P(A^(C )nnB^(C )) is equal to

The probabilities of three events A,B,C are such that P(A)=0.3, P(B)=0.4, P(C)=0.8,P(A nn B)=0.09, P(Ann C) = 0.28, P(A nn B nn C) 0.08 and P(Auu B uu C) leq 0.75.Show that P(B nn C) lies in the interval [0.21, 0.46].

In A B C , P divides the side A B such that A P : P B=1:2 . Q is a point in A C such that P Q B C . Find the ratio of the areas of A P Q and trapezium B P Q C .