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

Question

Philoid · Accepted 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.