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AP EAMCET · Maths · Probability

Three squares of a chessboard are selected at random. The probability of selecting two squares of one colour and the other of a different colour is equal to

  1. A \(\frac{10}{17}\)
  2. B \(\frac{15}{19}\)
  3. C \(\frac{17}{23}\)
  4. D \(\frac{16}{21}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{16}{21}\)

Step-by-step Solution

Detailed explanation

Total number of ways of selecting 3 square \(=64_{\mathrm{C}_3}\) Total number of ways of selecting 2 square of one colour and other square of different colour \(=(2\) white, 1 black \()\) or (1 white, 2 black \()\)…