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TS EAMCET · Maths · Probability

A person fails 4 times in a game when he plays 9 times. If he plays 15 times, the probability of having success at most one is

  1. A \(\frac{65}{9}\left(\frac{5}{9}\right)^{14}\)
  2. B \(\frac{65}{9}\left(\frac{5}{9}\right)^{15}\)
  3. C \(\frac{79}{9}\left(\frac{4}{9}\right)^{14}\)
  4. D \(\frac{79}{9}\left(\frac{4}{9}\right)^{15}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{79}{9}\left(\frac{4}{9}\right)^{14}\)

Step-by-step Solution

Detailed explanation

We have, \(P=\frac{5}{9}\) \[ \therefore \quad q=1-p=1-\frac{5}{9}=\frac{4}{9} \] and \[ n=15, r \leq 1 \]…
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