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Prove that AuuB=AnnB if and only if A=B...

Prove that `AuuB=AnnB` if and only if `A=B`

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Let A and B be two sets . Prove that : (A-B)uuB=A if and only if BsubA .

Prove that A-B=AnnB^(c ) .

Prove that (AuuB)-(AnnB) is equal to (A-B)uu(B-A) .

If A, B are two sets, prove that AuuB=(A-B)uu(B-A)uu(AnnB) . Hence or otherwise prove that n(AuuB)=n(A)+n(B)-n(AnnB) where, n(A) denotes the number of elements in A.

(i) A and B are two events in a random experiment such that P(AuuB)=0.7, (AnnB)=0.3 and P(barA)=0.4 , find P(barB) (ii) If P(A)=2/3P(B)=4/9 and P(AnnB)=14/45 , then find the value of P(AuuB) and P(A'nnB')

If A and B are any two sets ,prove that : (i) A-B=AcapB^(c) (ii) (A-B)uuB=AuuB .

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

If AuuB=AcapB , prove that A=B.

Prove that (AuuB)-(AcapB)=(A-B)uu(B-A) .