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TS EAMCET · Maths · Probability

A, B, C, D cut a pack of 52 well shuffled playing cards successively in the same order. If the person who cuts a spade first, wins the game and the game continues until this happens, then the probability that A wins the game is

  1. A \(\frac{74}{175}\)
  2. B \(\frac{44}{175}\)
  3. C \(\frac{54}{175}\)
  4. D \(\frac{64}{175}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{64}{175}\)

Step-by-step Solution

Detailed explanation

Let probability of spade be \(P\) and that of not spade be \(P^{\prime}\). Required probability…