Even Prime no is (2, 2)

P(even prime no) = $\frac{1}{36}$
Hint : Recall the Formula to obtain Probability For dice related questions.
Step 1 : Obtain sample space For each dice When Dice is rolled –

⇒ 5 = {1, 2, 3, 4, 5, 6}

∴n(S) = 6

Step 2 : Calculate Probability of getting Even Prime No. on Dice

⇒ There is only one Even Prime number ide 2
∴ Probability of getting 2 on each dice = $\frac{1}{6}$

⇒ As, two dices are independent, so Probability of getting 2 on both Dice = $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$

Therefore, Probability of getting Even Prime Number is $\frac{1}{36}$