Aspire Faculty ID #13719 · Topic: JAMIA MILLIA ISLAMIA MCA 2022 · Just now
JAMIA MILLIA ISLAMIA MCA 2022

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.

Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2022

Nearest first

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2022

Ascending by ID
Ask Your Question or Put Your Review.

loading...