Question
In a bag, there are βxβ pink balls and 15 white
balls. If the probability of drawing a pink ball is 3/8, then calculate the probability of getting two balls of different colours when chosen at random.Solution
ATQ, Total = x + 15 So, x/(x + 15) = 3/8 Or, 8x = 3x + 45 So, x = 9 Desired Probability = (9C1 Γ 15C1)/(24C2) = (2 Γ 9 Γ 15)/(24 Γ 23) = 270/552 = 135/276 = 45/92
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