Ajay rolled two dice together. What is the probability that first dice showed a multiple of 3 and the second dice showed an even number?

Question: Ajay rolled two dice together. What is the probability that first dice showed a multiple of 3 and the second dice showed an even number?
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​​Solution:
​First die shows a multiple of 3 is {3, 6} = 2 outcomes
​Second die shows an even number is {2, 4, 6} = 3 outcomes

​∴ ​​Favorable outcomes = 2 × 3 = 6
​And
​Two dice = 6 × 6 = 36
​
​ ​∴ P = Favorable outcomes/total outcomes
​= 6/36 = 1/6