Statement 1: if `A={2,4,6,},B{1,5,3}w h e r eAa n dB` are the events of numbers occurring on a dice, then `P(A)+P(B)=1.`
Statement 2: `A_1, A_2, A_3,...... , A_n` are all mutually exclusive events, then `P(A_1)+P(A_2)+.......+P(A_n)=1.`

If A_1 , A_2 , A_3 are mutually exclusive and exhaustive, then P(A_1) + P(A_2) + P(A_3) equal______

If A_1,A_2, A_3 , are equally likely, exhaustive and mutually exclusive then P(A_1) equals

Prove that, if A_1 and A_2 are two events, which are not necessarily mutually exclusive then P(A_1 uu A_2) = P(A_1) + P(A_1 nn A_2)

If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1//5, then

If Aa n dB are two events such that P(A)=1/2a n dP(B)=2/3 . Then show that P(A U B) ge 2/3 .

Two events A and B are mutually not exclusive events if P(A)=1/4,P(B)=2/5 and P(A cup B) =1/2 then find P(A cap B^c)

Let Aa n dB be two independent events. Statement 1: If P(A)=0. 4a n dP(Auu barB )=0. 9 ,t h e nP(B)i s1//4. Statement 2: If Aa n dB are independent, then P(AnnB)=P(A)P(B)dot .

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.

For two mutually exclusive events A and B,P(A)=1/2and P(AcupB)=2/3 ,then the value of P(B) will be

If P(A_1) = 0.2 , P(A_2) = 0.1 and P(A_3) = 0.3 and these events are mutually independent, then what is the value of P(A_1 nn A_2 nn A_3) ?