Question
A jar contains 6 pink, 2 black and 4 orange balls. If 3
balls are chosen at random without replacement, what is the probability that all 3 balls are of one colour?Solution
ATQ,
Probability of picking all 3 pink balls = ā¶Cā Ć· Ā¹Ā²Cā Probability of picking all 3 black balls = Ā²Cā Ć· Ā¹Ā²Cā (Note: Ā²Cā = 0 since we can't choose 3 from 2) Probability of picking all 3 orange balls = ā“Cā Ć· Ā¹Ā²Cā Required probability = (ā¶Cā + ā“Cā) Ć· Ā¹Ā²Cā = (20 + 4) Ć· 220 = (24/220) = 6/55
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