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TS EAMCET · Maths · Probability

The probability of getting a success in a trail is five times that of a failure. The probability of getting at most one success in 5 trails, is

  1. A \(\frac{25}{6^5}\)
  2. B \(\frac{26}{6^5}\)
  3. C \(\left(\frac{5}{6}\right)^5\)
  4. D \(2\left(\frac{5}{6}\right)^5\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{26}{6^5}\)

Step-by-step Solution

Detailed explanation

Let the probability of success and failure are \(\mathrm{P}\) and \(\mathrm{q}\) respectively then, \(p=5 q\) \[ \frac{\mathrm{P}}{\mathrm{q}}=\frac{5}{1} \] So, \(\mathrm{p}=\frac{5}{6}, \mathrm{q}=\frac{1}{6}\)…
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