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Example 30 - Six balls are drawn successively from an urn - Bernoulli Trials

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Example 30 Six balls are drawn successively from an urn containing 7 red and 9 black balls. Tell whether or not the trials of drawing balls are Bernoulli trials when after each draw the ball drawn is (i) replaced Let, Probability of success = Probability of drawing red ball p = 7﷮16﷯ Here, • Number of trial is finite • There are two outcomes (3) Probability of success (p) does not change in trial, as Probability of drawing red ball is same Hence, it is a Bernoulli trial Example 30 Six balls are drawn successively from an urn containing 7 red and 9 black balls. Tell whether or not the trials of drawing balls are Bernoulli trials when after each draw the ball drawn is (ii) not replaced in the urn. Let Probability of success = Probability of drawing red ball In first trial 7 red & 9 black ball Probability drawing red (p) = 7﷮16﷯ In second trial Since, Probability of success (p) changes in all trials, Hence, the trials are not Bernoulli trials.

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