InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is (A) 2, 4 or 8 (B) 3, 6 or 9A. 2,4 or 8B. 3,6, or 9C. 4 or 8D. 5 or 10. |
|
Answer» Correct Answer - D We have, `P(A)=(4)/(10)=(2)/(5)` Suppose B has n outcomes. Then, `P(B)=(n)/(10), 0 lt n lt 10`. Since A and B are independent events. `therefore P(A cap B)=P(A)P(B)` `implies P(A cap B)=(2)/(5)xx(n)/(10)=(2n//5)/(10)` `implies (2n)/(5)` is an integer between 0 ans 10 `implies (n)/(5)` is an integer between 0 and 5 `implies n=5, 10`. |
|