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The probability of obtaining at least two “SIX” in throwing a fair dice 4 time is
1. 425/432
2. 19/144
3. 13/144
4. 125/432

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Correct Answer - Option 2 : 19/144

n = 4, P = 1/6 = Prob. of ‘six’

then prob of failure (other than ‘six’) \(= 1 - \frac{1}{6} = \frac{5}{6}\)

P(x ≥  2) = 1 – P (x < 2)

= 1 – P (0) – P (1)

\(= 1 - {{\rm{4}}_{{C_0}}}{\left( {\frac{1}{6}} \right)^0}{\left( {\frac{5}{6}} \right)^4}{ + ^4}{C_1}{\left( {\frac{1}{6}} \right)^1}{\left( {\frac{5}{6}} \right)^3} = \frac{{19}}{{144}}\)

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