Anasayfa
/
Matematik
/
Q4 (7 P.) Let Asubseteq B and P(A)=P(B)=0.2 Then Which of the Following Is Alway TRUE (A) Acap B=emptyset (B) P(Acup B)=P(A) (C) A and

Soru

Q4 (7 p.) Let Asubseteq B and P(A)=P(B)=0.2 Then which of the following is alway TRUE (A) Acap B=emptyset (B) P(Acup B)=P(A) (C) A and B are independent D P(A-B)=0 (E) none of the above.

Çözüm

4.4 (240 Oylar)
Vedat
Uzman doğrulaması
Elit · 8 yıl öğretmeni

Cevap

The correct answer is (B) .Explanation:Given that and , we can analyze each option:(A) : This is not always true. Since , there may be some elements in that are also in , so is not necessarily empty.(B) : This is always true. Since , the union of and is simply . Therefore, .(C) A and B are independent: This is not always true. Independence of events depends on the relationship between the events, and in this case, , so they are not independent.(D) : This is not always true. represents the set of elements in but not in . Since , there may be elements in that are not in , so is not necessarily zero.(E) none of the above: This is not the correct answer, as option (B) is always true.Therefore, the correct answer is (B) .