Q. 24.3( 4 Votes )

Refer to Exercise 1 above. If the die were fair, determine whether or not the events A and B are independent

Answer :

Given-


A= {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}


So, n(A)= 6, n(S)= (6)2= 36



And B = {(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)}


n(B)= 6



AՈB = [(5,5), (6,6)]




Thus,


P (A Ո B) ≠ P(A). P(B)


So, A and B are not independent events.


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