三、判断以下等式是否成立1) A∪B=AB∪B; ( )2) overline(A∪BC)=overline(B∪C); ( )3) 若overline(A)subsetoverline(B),则overline(B)subsetoverline(A); ( )4) overline(ABC)=overline(A)overline(B)overline(C); ( )5) overline(A∪B∪C)=overline(A∪B∪C); ( )6) overline(ABC)=overline(A∪B∪C); ( )7) bigcup_(i=1)^nA_(i)=bigcap_(i=1)^noverline(A_{i)}; ( )

三、判断以下等式是否成立 1) $A∪B=AB∪B;$ ( ) 2) $\overline{A∪BC}=\overline{B∪C};$ ( ) 3) 若$\overline{A}\subset\overline{B},$则$\overline{B}\subset\overline{A};$ ( ) 4) $\overline{ABC}=\overline{A}\overline{B}\overline{C};$ ( ) 5) $\overline{A∪B∪C}=\overline{A∪B∪C};$ ( ) 6) $\overline{ABC}=\overline{A∪B∪C};$ ( ) 7) $\bigcup_{i=1}^{n}A_{i}=\bigcap_{i=1}^{n}\overline{A_{i}}; $ ( )

参考答案与解析:

相关试题

3.指出下列等式和命题是否成立,并说明理由:-|||-(1) cup B=(AB)cup B;-|||-(2) overline (A)B=Acup B:-|||-(3) overline (Acup

3.指出下列等式和命题是否成立,并说明理由:-|||-(1) cup B=(AB)cup B;-|||-(2) overline (A)B=Acup B:-||

  • 查看答案
  • 设P(A)=(1)/(3),P(B)=(1)/(4),P(A∪B)=(1)/(2),求P(overline(A)∪overline(B)),P(overline(AB)),P(A∪overline(B

    设P(A)=(1)/(3),P(B)=(1)/(4),P(A∪B)=(1)/(2),求P(overline(A)∪overline(B)),P(overline

  • 查看答案
  • (1)(overline(AB)cup C)(overline(AC)); (2)(Acup B)(Acupoverline(B)).6.证明:(Acup B)-B=overline(AB)=A-A

    (1)(overline(AB)cup C)(overline(AC)); (2)(Acup B)(Acupoverline(B)).6.证明:(Acup B

  • 查看答案
  • 若Asupset B,则以下关系式AB=B,Acup B=A,overline(A)subsetoverline(B)中

    若Asupset B,则以下关系式AB=B,Acup B=A,overline(A)subsetoverline(B)中A. 全对B. 1个对C. 全错D. 2

  • 查看答案
  • 1.已知 P(A)=1/2 , P(B)=1/3 , (AB)=1/10, 则 (overline (A)cap overline (B))= __

    1.已知 P(A)=1/2 , P(B)=1/3 , (AB)=1/10, 则 (overline (A)cap overline (B))= __

  • 查看答案
  • 1.已知事件A,B,C,则以下结论错误的是 () .-|||-(a) overline (AB)=overline (A)cup overline (B) (b) cup C=(Acup C)(Bcu

    1.已知事件A,B,C,则以下结论错误的是 () .-|||-(a) overline (AB)=overline (A)cup overline (B) (b

  • 查看答案
  • 5、判断 设A,B是任意两事件,若AB=phi,且overline(A)B=phi,则overline(A)=B.

    5、判断 设A,B是任意两事件,若AB=phi,且overline(A)B=phi,则overline(A)=B.A. √B. ×

  • 查看答案
  • 已知P(A)=0.4,P(B)=0.3,P(B|overline(A))=0.4.求:(1)P(overline(A)B);(2)P(overline(A)overline(B));(3)P(over

    已知P(A)=0.4,P(B)=0.3,P(B|overline(A))=0.4.求:(1)P(overline(A)B);(2)P(overline(A)ov

  • 查看答案
  • 5.设A,B,C为三个随机事件,且 (overline (A)cup overline (B))=0.8 (overline (A)cup overline (B)cup overline (C))=

    5.设A,B,C为三个随机事件,且 (overline (A)cup overline (B))=0.8 (overline (A)cup overline (

  • 查看答案
  • 1.设 (AB)=P(overline (A)overline (B)), 且 (A)=p, 求P(B).

    1.设 (AB)=P(overline (A)overline (B)), 且 (A)=p, 求P(B).

  • 查看答案