Six balls are drawn successively from an urn | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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.

Similar Questions

Two cards are drawn successively with replacement from a well-shuffled pack of $52$ cards. Find the probability distribution of the number of queens.

If $8$ coins are tossed simultaneously,what is the probability of getting at least $6$ heads?

$A$ coin is tossed $100$ times. What is the probability of getting a tail an odd number of times?

Let a random variable $X$ have a Binomial distribution with mean $8$ and variance $4$. If $P(X \leqslant 2) = \frac{k}{2^{16}}$,then $k$ is equal to:

$A$ die is thrown $6$ times. If 'getting an odd number' is a success,what is the probability of at most $5$ successes?

Vedclass Test Series

Exam Paper Generator

Online Exam Module