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AP EAMCET · Maths · Probability

The probability that an event does not happen in one trial is 0.8 The probability that the event happens atmost once in three trials is

  1. A \(0.896\)
  2. B \(0.791\)
  3. C \(0.642\)
  4. D \(0.592\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.896\)

Step-by-step Solution

Detailed explanation

Given, \(p=0.2, q=0.8, n=3\) From binomial distribution, \(P(X=r)={ }^n C_2 P^r q^{n-r}\) Probability that event happens at most once, \(P(X \leq 1)=P(X=0)+P(X=1)\)…