Let ω be a complex cube root of unity with ω≠1. A fair die is thrown three times. If r1, r2 and r3 are the numbers obtained on the die, then the probability that ωr1+ωr2+ωr3=0 is
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
1/18
b
1/9
c
2/9
d
1/36
answer is C.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
r1,r2,r3∈{1,2,3,4,5,6}r1,r2,r3 are of the form 3k,3k+1,3k+2 Required probability =3!×2C1×2C1×2C16×6×6=6×8216=29
Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!
Let ω be a complex cube root of unity with ω≠1. A fair die is thrown three times. If r1, r2 and r3 are the numbers obtained on the die, then the probability that ωr1+ωr2+ωr3=0 is