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Two cards drawn with replacement: P(X = 1) + P(X = 2) for the number of jacks or kings

The same question, asked 2 times: 3 May 2023 S1, 3 May 2023 S2. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S1

    144
    Two cards are drawn successively with replacement from a pack of 52 cards. Let X denote the number of jacks obtained. Then P(X=1)+P(X=2)P(X=1)+P(X=2) equals

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  2. Question 2

    3 May 2023 S2

    115
    Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Let x denote the random variable of number of kings obtained in the two drawn cards. Then P(x=1)+P(x=2)P(x=1)+P(x=2) equals

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