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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Let two fair six-faced dice $A$ and $B$ be thrown simultaneously.
Let $E_1$ be the event that die $A$ shows 4,
$E_2$ the event that die $B$ shows 2,
and $E_3$ the event that the sum of the two numbers on the dice is odd.
Which statement is false?
Solution
$P(E_1) = P(E_2) = \dfrac{1}{6}, \quad P(E_3) = \dfrac{1}{2}$ $P(E_1 \cap E_2 \cap E_3) = 0$ (since $4 + 2 = 6$, even) $P(E_1)P(E_2)P(E_3) = \dfrac{1}{72}$ So they are pairwise independent, but not mutually independent.Online Test Series, Information About Examination,
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