An urn contains 25 balls numbered 1 to 25. Su | vedclass

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

Question

(NONE) The total number of balls is $25$. The odd numbers between $1$ and $25$ are ${1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}$,which are $13$ in

Vedclass · Accepted Answer

$\frac{7}{27}$

Vedclass · Answer

(NONE) The total number of balls is $25$. The odd numbers between $1$ and $25$ are ${1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}$,which are $13$ in total.Probability of success $(p)$ $= \frac{13}{25}$.Probability of failure $(q)$ $= 1 - p = 1 - \frac{13}{25} = \frac{12}{25}$.Since $2$ balls are drawn with replacement,this follows a Binomial distribution $B(n, p)$ where $n = 2$.We need the probability of at least $2$ successes,which is $P(X \ge 2) = P(X = 2)$.$P(X = 2) = \binom{2}{2} p^2 q^0 = 1 	imes (\frac{13}{25})^2 	imes 1 = \frac{169}{625}$.

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. If $2$ balls are drawn from the urn with replacement,find the probability of getting at least $2$ successes.

Similar Questions

From $80$ cards numbered $1$ to $80$, two cards are selected randomly. The probability that both the cards have numbers divisible by $4$ is given by

The probabilities of a problem being solved by two students are $\frac{1}{2}$ and $\frac{1}{3}$ respectively. What is the probability that the problem is solved?

When two dice are thrown,what is the probability that the sum of the numbers appearing on them is $6$ or $7$?

$A$ bag contains $8$ black and $7$ white balls. Two balls are drawn at random. For which of the following is the probability the highest?

If $P(A) = \frac{1}{2}$,$P(B) = \frac{1}{3}$ and $P(A \cap B) = \frac{1}{4}$,then $P(B/A) = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module