Download the app

Questions  

Let ω be a complex cube root of unity with ω1. 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

a
1/18
b
1/9
c
2/9
d
1/36

detailed solution

Correct option is C

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

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.


phone icon
whats app icon