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Statement 1: If AnnB=phi then n((AxxB)nn...

Statement 1: If `AnnB=phi` then `n((AxxB)nn(BxxA))=0`
Statement 2: `A-(BuuC)=AnnB^'nnC^'`

A

Statement 1: is True, Statement 2 is True , Statement 2 is a correct explanation for statement 1

B

Statement 1 is True, Statement 2 is True Statement 2 is NOT a correct explanation for Statement 1

C

Statement 1 is True, Statement 2 is False

D

Statement 1 is False, Statement 2 is True

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The correct Answer is:
B
Obviously (I) is true and (II) is also true
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Statement-1 If AuuB=AuuC and AnnB=AnnC , then B = C. Statement-2 Auu(BnnC)=(AuuB)nn(AuuC)

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 .

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

The set (AuuBuuC)nn(AnnB'nnC')' is equal to

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If A is obtuse angle I A B C , then tanB\ t a n C<1 because Statement II: In A B C ,\ t a n A=(t a n B+t a n C)/(t a n B t a n C-1)\ a. A b. \ B c. \ C d. D

Prove that (AuuBuuC)nn(AnnB'nnC')'nnC'=BnnC'

Statement-1 P(A)nnP(B)=P(AnnB) , where P(A) is power set of set A. Statement-2 P(A)uuP(B)=P(AuuB) .

Let Aa n dB be two events such that P(A)=3//5a n dP(B)=2//3. Then Statement 1: 4/(15)lt=P(AnnB)lt=3/5dot Statement 2: 2//5lt=P(A/B)lt=9//10.

Statement 1: sum_(r=0)^n(r+1)^n c_r=(n+2)2^(n-1)dot Statement 2: sum_(r=0)^n(r+1)^n c_r=(1+x)^n+n x(1+x)^(n-1)dot (1) Statement 1 is false, Statement 2 is true. (2) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1 (3) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1. (4) Statement 1 is true, Statement 2 is false.

Statement-1: sum_(r =0)^(n) (r +1)""^(n)C_(r) = (n +2) 2^(n-1) Statement -2: sum_(r =0)^(n) (r+1) ""^(n)C_(r) x^(r) = (1 + x)^(n) + nx (1 + x)^(n-1)

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