A box contains 4 white, 5 red and 6 black balls. Two balls are drawn at random. If both are black,
what is the probability?
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The probability is
=31/153
=31/153
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Total number of balls= 15
ways of drawing 2 balls= ¹⁵C2
Number of black balls= 6
ways of choosing black balls= ⁴C2
P= ⁴C2/¹⁵C2= (4×3/2)/(15×14/2)= 6/105
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