Question
A bag contains 4 orange balls, 5 black balls, and 6 pink
balls. If 3 balls are taken out randomly, what is the probability that all the three balls are not of the same colour ?Solution
ATQ,
Number of ways in which the person can pick three balls out of 15 balls = ¹⁵C₃ = 455 Number of ways of picking 3 balls of same colour = ⁴C₃ + ⁵C₃ + ⁶C₃ = 4 + 10 + 20 = 34 Probability of picking three balls of same colour = 34 / 455 Required probability = 1 – Probability of picking three balls of same colour = 1 – 34/455 = 421/455
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