Probability distribution of the number of successes in repeated independent draws or throws

This type of question, asked 3 times: 9 May 2023 S2, 10 May 2024 S2, 11 May 2024 S2. All 3 questions below, oldest first.

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Question 1
9 May 2023 S2
144 $A bag contains 4 red and 3 black balls. One ball is drawn and then replaced in the bag and the process is repeated. Let X denote the number of times black ball is drawn in 3 draws. Assuming that at each draw each ball is equally likely to be selected, then probability distribution of X is given by$
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Question 2
10 May 2024 S2
139 $A fair die is tossed twice in succession. If X denotes the number of sixes in two tosses, then the probability distribution of X is given by$
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Question 3
11 May 2024 S2
103 $A fair die is tossed twice in succession. If X denotes the number of fours in two tosses, then the probability distribution of X is given by$
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Question 1