Probability 3 Question 7

7. Let A and B be two events such that P(AB)=16, P(AB)=14 and P(A¯)=14, where A¯ stands for the complement of the event A. Then, the events A and B are

(2014 Main)

(a) independent but not equally likely

(b) independent and equally likely

(c) mutually exclusive and independent

(d) equally likely but not independent

Show Answer

Solution:

  1. Given, P(AB)=16,P(AB)=14,P(A¯)=14

P(AB)=1P(AB)=116=56

 and P(A)=1P(A¯)=114=34P(AB)=P(A)+P(B)P(AB)56=34+P(B)14P(B)=13A and B are not equally likely P(AB)=P(A)P(B)=14

So, events are independent.



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक