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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