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(A) sequence of trials is called Bernoulli trials if they satisfy the following conditions: $1$. There is a finite number of trials. $2$. Each trial h

Vedclass · Accepted Answer

Yes,they are Bernoulli trials.

Vedclass · Answer

(A) sequence of trials is called Bernoulli trials if they satisfy the following conditions: $1$. There is a finite number of trials. $2$. Each trial has only two outcomes (success or failure). $3$. The probability of success remains constant for each trial. In this problem: $1$. The number of trials is $6$,which is finite. $2$. Each draw results in either a red ball (success) or a black ball (failure). $3$. Since the ball is replaced after each draw,the total number of balls remains $7 + 9 = 16$. Therefore,the probability of drawing a red ball in each trial is $p = \frac{7}{16}$,which is constant for all $6$ trials. Since all conditions are satisfied,the trials are Bernoulli trials.

Six balls are drawn successively from an urn containing $7$ red and $9$ black balls. Determine whether or not the trials of drawing balls are Bernoulli trials when after each draw,the ball drawn is replaced.

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