InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Let two fari six-faced dice A and B be thrown simltaneously. If `E_(1)` is the event that die A shows up four, `E_(2)` is the event that die B shows up two and `E_(3)` is the event that the sum of numbers on both dice isodd, then which of the following statement is NOT True ?A. `E_(2)and E_(3)` are independentB. `E_(1)and E_(3)` are independentC. `E_(1)and E_(2) and E_(3)` are independentD. `E_(1)and E_(2)` are independent |
|
Answer» Correct Answer - C `E_(1):{(4,1),...,(4,6)}to6"cases"` `E_(2):{(1,2),...,(6,2)}to6"cases"` `E_(3):"18 cases (sum of both is odd")` `thereforeP(E_(1))=3/6=1/6=P(E_(2))` `P(E_(3))=18/36=1/2` `P(E_(1)nnE_(2))=1/36` `P(E_(2)nnE_(3))=3/36=1/12` Similarly `P(E_(3)nnE_(1))=1/12` `P(E_(1)nnE_(2)nnE_(3))=0` `therefore E_(1),E_(2),E_(3)` are not independent. |
|