in Education by
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)` Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
(i) We know that `P(A nn B)=P(A)+P(B)-P(A uu B)` `=(3/5+7/10-9/10)=((6+7-9))/10=4/10=2/5` (ii) `P(A//B)=((A nn B))/(P(B))=((2//5))/((7//10))=(2/5xx10/7)=4/7`. (iii) `P(B//A)=((B nn A))/(P(A))=(P(A nn B))/(P(A))=((2//5)/(3//5))=(2/5xx5/3)=2/3`.

Related questions

0 votes
    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
0 votes
    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
0 votes
    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...
asked Nov 13, 2021 in Education by JackTerrance
...