Probability

Maths & Stats

If a fair die is thrown 2 times, let A and B be the events, â??same number each timeâ?? and â??a total score is 10 or more,â?? respectively. Determine whether or not the events A and B are independent. A. Mutually exclusive B. Independent C. Dependent D. None of the above Can someone give the correct ans with explanation? I am confused between options a and b

Pranaya Ramaprasad

CA Foundation

★ 0

08-May-22 18:15

488

Answers (1)

Condition for event A= same number each time A ={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} P(A) = 6/36 =1/6 Conditon for event B=total score is 10 or more B = {(4,6),(6,4),(5,5),(6,5),(5,6),(6,6)} P(B) = 6/36 = 1/6 conditon for event A and B= same number each time and total score is 10 or more (Aâ?©B)= {(5,5),(6,6)} P(Aâ?©B) =2/36=1/18 P(Aâ?©B) â? P(A)+P(B) Hence, events A and B are not independent. And also not mutually exclusive[ bcz P(Aâ?©B)â? 0} So Option C is right.

Jitendra Kumar

CA Final

★ 41K+

09-May-22 09:34