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Probability distribution of the number of defective items drawn without replacement

This type of question, asked 2 times: 22 Apr 2025 S2, 13 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    22 Apr 2025 S2

    148
    Four defective oranges are accidentally mixed with sixteen good ones. Three oranges are drawn from the mixed lot. The probability distribution of defective oranges is

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  2. Question 2

    13 Apr 2026 S2

    99
    It is known that a box of 88 batteries contains 33 defective pieces and a person randomly selects 22 batteries from this box. Then the probability distribution of the number of defective batteries is

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