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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediumsingle choice

Let $w$ be complex cube root of unity with $w \neq = 1$ . A fair die is thrown 3 times. If $r_{1}, r_{2}, r_{3}$ be the numbers obtained on the die the probability that $w^{r_{1}} + w^{r_{2}} + w^{r_{3}} = 0$ is

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Answer:

Solution:

$r_{1}, r_{2}, r_{3}$ must be of the four $3 n, 3 n + 1, 3 n + 2 P (E) = \frac{3. C _{1} \cdot C 2 _{1} \cdot C _{1}^{2}}{6 ^{3}} = \frac{2}{9}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: QB

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