in Education by
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) independent. Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - (i) No (ii) No P (not A or not B) `=P (bar(A) or bar(B))=P( bar(A) uu bar(B))` `=P (bar(A nn B))=1- P (A nn B)` `implies 1-P (A nn B)=1/4 implies P(A nn B)=3/4`. (i) Since `P(A nn B) ne 0`, so A and B are not mutually exclusive. (ii) `P(A)xxP(B)=(1/2xx7/12)=7/24 ne P(A nn B)` `implies` A and B are not independent.

Related questions

0 votes
    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
0 votes
    Three coins are tossed. Describe(i) Two events which are mutually exclusive.(ii) Three events which are mutually ... not exhaustive. Select the correct answer from above options...
asked Nov 13, 2021 in Education by JackTerrance
0 votes
    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
...