Calculate single probability value

A question is this type if and only if it asks to find or show a single probability value for a specific outcome in a hypergeometric scenario (e.g., exactly k successes in n draws).

2 questions · Moderate -0.5

5.01a Permutations and combinations: evaluate probabilities

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CAIE S1 2010 June Q1

3 marks Moderate -0.5

1 A bottle of sweets contains 13 red sweets, 13 blue sweets, 13 green sweets and 13 yellow sweets. 7 sweets are selected at random. Find the probability that exactly 3 of them are red.

CAIE S1 2017 March Q2

3 marks Moderate -0.5

2 A bag contains 10 pink balloons, 9 yellow balloons, 12 green balloons and 9 white balloons. 7 balloons are selected at random without replacement. Find the probability that exactly 3 of them are green.