Statement 1: The probability of drawing either an ace or a king from a pack of card in a single draw is 2/13. Statement 2: for two events `Aa n dB` which are not mutually exclusive, `P(AuuB)=P(A)+P(B)-P(AnnB)dot`

If A and B are mutually exclusive events such that P(A)=0.20 and P(B)=0.30 , find P(AuuB)

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

If A and B are mutually exclusive events such that P(A)=0. 35 and P(B)=0. 45 , find P(AuuB)

For two mutually exclusive events A and B , P(A)=1/3 and P(B)=1/4, find (AuuB) .

Statement-1 : 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-2 : 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

If A and B are two mutually exclusive and exhaustive events and P(B)=3/2P(A), then find P(A) .

If A and B are any two events such that P(AuuB)=1/2 and P( A )=2/3 , find P( A nnB)dot

Aa n dB are two independent events. C is event in which exactly one of AorB occurs. Prove that P(C)geqP(AuuB)P(A'nnB')dot

Each question has four choices a, b, c, and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and statement 2 is the correct explanation of Statement 1. Both the statements are TRUE but Statement 2 is NOT the correct explanation of Statement 1. Statement 1 is TRUE and Statement 2 is FALSE. Statement 1 is FALSE and Statement 2 is TRUE. Statement 1: For events Aa n dB of sample space if P(A/B)geqP(A) , then P(B/A)geqP(B)dot Statement 2: P(A/B)=(P(AnnB))/(P(B)) , (P(B)!=0)dot

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is