Question

Two dice are thrown simultaneously. The probability of getting a pair of aces is

Options

• \[\frac{1}{36}\]

• \[\frac{1}{3}\]

• \[\frac{1}{6}\]

• none of these

Answer 1

\[ \frac{1}{36}\]
\[P\left( \text{ pair of aces } \right) = P\left( \text{ ace in first throw }  \right) \times P\left( \text{ ace in second throw }  \right)\]
\[ = \frac{1}{6} \times \frac{1}{6}\]
\[ = \frac{1}{36}\]