Duration: 1:59

0 views

0

Let \( \omega \) be a complex cube root of unity with \( \omega \neq 1 \).
\( \mathrm{P} \) A fair die is thrown three times. If \( r_{1}, r_{2} \) and \( r_{3} \) are

W the number obtained on the die, the probability that \( \omega^{11}+\omega^{r_{2}}+\omega^{r_{3}}=0 \) is
(1) \( \frac{1}{18} \)
(2) \( \frac{1}{9} \)
(3) \( \frac{2}{9} \)
(4) \( \frac{1}{36} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live