Probability 3 Question 9
9. An experiment has 10 equally likely outcomes. Let and be two non-empty events of the experiment. If consists of 4 outcomes, then the number of outcomes that must have, so that and are independent, is
(a) 2,4 or 8
(b) 3,6 or 9
(c) 4 or 8
(d) 5 or 10
Show Answer
Solution:
- Since,
For independent events,
[maximum 4 outcomes may be in
(i) Now,
(ii) Now,
(iii) Now,
(iv) Now,