Home
Q&A
Education
Technology
Credit
General
Health
Insurance
Questions
Ask a Question
Let A and B be two events such that `P(A)=0.3` and `P(AuuB)= 0.8`. If A and B are independent events, then `P(B)=`
Home
Education
Let A and B be two events such that `P(A)=0.3`...
asked
Nov 13, 2021
in
Education
by
JackTerrance
Let A and B be two events such that `P(A)=0.3` and `P(AuuB)= 0.8`. If A and B are independent events, then `P(B)=` Select the correct answer from above options
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
1
Answer
0
votes
answered
Nov 13, 2021
by
JackTerrance
Best answer
`P(AuuB)=P(A)+P(B)-P(A)P(B)," as A and B are independent events."` `implies" "0.8=(0.3)+P(B)-(0.3)P(B)` `implies" "0.5=(0.7)P(B)impliesP(B)=(5)/(7)`
Related questions
0
votes
Q: If two events `Aa n dB` are such that `P(A^o)=0. 3 ,P(B)=0. 4 ,a n dP(AnnB^o)=0. 5` , then find the value of `P[B//(AuuB^o)]dot`
If two events `Aa n dB` are such that `P(A^o)=0. 3 ,P(B)=0. 4 ,a n dP(AnnB^o)=0. 5` , then find the value of `P[B//(AuuB^o)]dot` Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: if `A` and `B` be two events such that `P(A)=1/4, P(B)=1/3` and `P(AuuB)=1/2,` show that `A` and `B` are independent events.
if `A` and `B` be two events such that `P(A)=1/4, P(B)=1/3` and `P(AuuB)=1/2,` show that `A` and `B` are independent events. Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let A and B be independent events with `P(A) = 0. 3`and `P(B) = 0. 4`Find(i) `P(AnnB)` (ii) `P(AuuB)`(iii) `P (A|B) ` (iv) `P(B|A)`
Let A and B be independent events with `P(A) = 0. 3`and `P(B) = 0. 4`Find(i) `P(AnnB)` (ii) `P(AuuB)`(iii) `P (A|B) ` (iv) `P(B|A)` Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let A and B be two events such that `p( bar AuuB)=1/6, p(AnnB)=1/4` and `p( bar A)=1/4` , where ` bar A` stands for the complement of the event A. The
Let A and B be two events such that `p( bar AuuB)=1/6, p(AnnB)=1/4` and `p( bar A)=1/4` ... likely (4) independent and equally likely Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let `E_(1)` and `E_(2)` are the two independent events such that `P(E_(1))=0.35` and `P(E_(1) uu E_(2))=0.60`, find `P(E_(2))`.
Let `E_(1)` and `E_(2)` are the two independent events such that `P(E_(1))=0.35` and `P(E_(1) uu E_(2))=0.60`, find `P(E_(2))`. Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: 23. A and B are two independent events such that `P(A) = 1/2 and P(B)=1/3`. Then P (neither A nor B) is equal to
23. A and B are two independent events such that `P(A) = 1/2 and P(B)=1/3`. Then P (neither A nor B) is ... ))/(P(overset(" "-)B))` Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let `E_(1)` and `E_(2)` be two events such that `P(E_(1))=0.3, P(E_(1) uu E_(2))=0.4` and `P(E_(2))=x`. Find the value of x such that (i) `E_(1)` and
Let `E_(1)` and `E_(2)` be two events such that `P(E_(1))=0.3, P(E_(1) uu E_(2))=0.4` and `P( ... `E_(1)` and `E_(2)` are independent. Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: If E and Fare independent events such that `0 < P(E) <1` and `0 < P(F) <1`, then
If E and Fare independent events such that `0 < P(E)...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: If A and B are the two events such that `P(A)=3/5, P(B)=7/10` and `P(A uu B)=9/10`, then find (i) `P(A nn B)` (ii) `P(A//B)` (iii) `P(B//A)`
If A and B are the two events such that `P(A)=3/5, P(B)=7/10` and `P(A uu B)=9/10`, then find (i) `P(A nn ... `P(A//B)` (iii) `P(B//A)` Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let a and B be the events such that `P(A)=1/3, P(B)=1/4` and `P(A nn B)=1/5`. Find : (i) `P(A//B)` (ii) `P(B//A)` (iii) `P(A uu B)` (iv) `P(bar(B)//ba
Let a and B be the events such that P(A)= 1 3 ,P(B)= 1 4 and P(A∩B)= 1 5 . Find : (i) P(A/B) (ii) P(B/A ... P(A∪B) (iv) P( ˉ B / ˉ A ) Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: If X and Y are two events such that `PX//Y)=(1)/(2), P(Y//X)=(1)/(3)` and `P(XcapY)(1)/(6)`. Then, which of the following is/are correct ?
If X and Y are two events such that `PX//Y)=(1)/(2), P(Y//X)=(1)/(3)` and `P(XcapY)(1)/(6)`. Then, ... D. `P(X^(c )capY)=1//3` Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let A and B be two events such that ,P(A cap B)=(1)/(4)` and `Poverset(-)(A)=(1)/(4)`, where `overset(-)A` stands for the complement of the event A. T
Let A and B be two events such that ,P(A cap B)=(1)/(4)` and `Poverset(-)(A)=(1)/(4) ... D. equally likely but not independent Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: A,B,C are events such that `P_(r )(A)=0.3, P_(r )(B)=0.4,P_(r )(C )=0.8` `P_(r ) (AB)=0.08, P_(r )(AC )=0.28` and `P_(r )(B)=0.4, P_(r )(C )=0.8` If `
A,B,C are events such that `P_(r )(A)=0.3, P_(r )(B)=0.4,P_(r )(C )=0.8` `P_(r ) (AB)=0.08, ... )` lies in the interval [0.23,0.48]. Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: If A and B are two events such that `AsubB`and `P(B)!=0,`them which of the following is correct?(A) `P(A | B) =(P(B))/(P(A)` (B) `P(A|B)ltP(A)` (C) `P
If A and B are two events such that A⊂Band P(B)≠0,them which of the following is correct?(A) P(A∣B)= P(B) P(A) (B) P(A∣B)...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
0
votes
Q: Let A and B be the events such that `P(A)=1/2, P(B)=7/12` and P(not A or not B)`=1/4` State whether A and B are (i) mutually exclusive, (ii) independe
Let A and B be the events such that `P(A)=1/2, P(B)=7/12` and P(not A or not B)`=1/4` ... (i) mutually exclusive, (ii) independent. Select the correct answer from above options...
asked
Nov 13, 2021
in
Education
by
JackTerrance
artificial-intelligence-interview-questions
artificial-intelligence-interview-questions-answers
artificial-intelligence-multiple-choice-questions
artificial-intelligence-mcq-with-answers
artificial-intelligence-mcq
artificial-intelligence-questions
...