Home
Q&A
Education
Technology
Credit
General
Health
Insurance
Questions
Ask a Question
Evaulate `P(A uu B)`, if `2P(A)=P(B)=6/13` and `P(A//B)=1/3`.
Home
Education
Evaulate `P(A uu B)`, if `2P(A)=P(B)=6/13` and...
asked
Nov 13, 2021
in
Education
by
JackTerrance
Evaulate `P(A uu B)`, if `2P(A)=P(B)=6/13` and `P(A//B)=1/3`. 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
2P(A)=P(B)=613⇒P(A)=313 and P(B)=613. ∴ implies P(A nn B)=P(A//B).P(B)=(1/3xx6/13)=2/13. So, P(A uu B)=P(A)+P(B)-P(A nn B) =(3/13+6/13-2/13)=((3+6-2))/13=7/13. Hence, P(A uu B)=7/13.
Related 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 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: If `(1+3p)/3,(1-p)/1,(1-2p)/2` are the probabilities of 3 mutually exclusive events then find the set of all values of p.
If `(1+3p)/3,(1-p)/1,(1-2p)/2` are the probabilities of 3 mutually exclusive events then find the set of all values of p. 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: Suppose X has a binomial distribution `B(6,1/2)`. Show that `X = 3`is the most likely outcome.(Hint: `P(x=3)`is the maximum among all `P(x_i),x_i=0,1,
Suppose X has a binomial distribution `B(6,1/2)`. Show that `X = 3`is the most likely outcome.(Hint: `P(x=3)`is ... =0,1,2,3,4,5,6)` 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: 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: If `P(A) = 7/(13)`, `P(B) =9/(13)`and `P(AnnB) =4/(13)`, evaluate`P(A|B)`.
If `P(A) = 7/(13)`, `P(B) =9/(13)`and `P(AnnB) =4/(13)`, evaluate`P(A|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: 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: If P(B)`=(3)/(4)` P(A cap B cap overset(-)(c ))=(1)/(3)` and `P(overset(" "-)(A) cap B cap overset(-)(C ))=(1)/(3)`, then `P(B cap C)` is equal to
If P(B)= 3 4 P(A cap B cap overset(-)(c ))=(1)/(3)andP(overset(" "-)(A) cap B cap overset(-)(C ))=(1)/(3) ... )/(6)C.(1)/(16)D.(1)/(9)` 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 bag A contains 4 black and 6 red balls and bag B contains 7 black and 3 red balls. A die is thrown. If 1 or 2 appears on it, then bag a is chosen, o
A bag A contains 4 black and 6 red balls and bag B contains 7 black and 3 red balls. A die is thrown. ... being red and another black. 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: 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: A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B
A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, ... red. Are A and B 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: Three identical dice are rolled once. The probability that the same number will appear on each of them, is (a) `1/6` (b) `1/36` (c) `1/18` (d) `3/28`
Three identical dice are rolled once. The probability that the same number will appear on each of them, is (a) 1 6 (b ... 1 16 D. 3 28 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
...