🛠️ JEE➗ Maths

If the probability that the random variable \(X\) takes values \(x\) given by \(P\left(X=x\right)=k\left(x+1\right){3}^{…

Q1

If the probability that the random variable \(X\) takes values \(x\) given by \(P\left(X=x\right)=k\left(x+1\right){3}^{-x},x=0,1,2,3,....\) where \(k\) is a constant then \(P\left(X\geq 2\right)\) is equal to

[JEE Main 2023, 8 Apr (Shift 2)]

a

\(\frac{7}{27}\)

b

\(\frac{11}{18}\)

c

\(\frac{7}{18}\)

d

\(\frac{20}{27}\)

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