Q.The probability of obtaining even prime number on each die, when a pair of dice is rolled is :

The even prime is $2$; needing $2$ on both dice gives $\tfrac16\times\tfrac16=\tfrac1{36}$.

The even prime number is $2$ (the only prime that is even). We want a $2$ on each die when a pair is rolled.

For one die, $P(\text{showing }2) = \dfrac{1}{6}$. The two dice are independent, so

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