# Q .17.     The probability of obtaining an even prime number on each die, when a pair of dice is rolled is                (A)  $0$                (B)  $\frac{1}{3}$                (C)   $\frac{1}{12}$                (D)   $\frac{1}{36}$

when a pair of dice is rolled, total outcomes $=6^2=36$

Even prime number $=\left \{ 2 \right \}$

$n(even \, \, prime\, \, number)=1$

The probability of obtaining an even prime number on each die $=P(E)$

$P(E)=\frac{1}{36}$

Option D is correct.

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