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ATQ, Let's denote the number of blue, green, and orange cubes as ‘B’, ‘G’, and ‘O’ respectively. Given: G+B = O and B+G+O = 24. Probability of picking two blue cubes = (1/22) implies [B(B-1)]/(24x23) = 1/22. Simplifying: B(B-1) = 24. Solving the quadratic equation B²-B-24=0 gives B = 6 or B = -4 (discard the negative value). With B = 6, substitute back to find O = 24 - B - G = 24 - 6 - G = 18 - G. Since G+B = O, we get G + 6 = 18, thus G = 12. Number of green cubes = 12.
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