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

(C) Total balls $= 25$. Odd numbers are ${1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}$,which are $13$ in total. Probability of success $(p)$ $= \fr

Vedclass · Accepted Answer

$\frac{481}{625}$

Vedclass · Answer

(C) Total balls $= 25$. Odd numbers 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,the probability of getting no success in $2$ trials is $q 	imes q = \left(\frac{12}{25}ight)^2 = \frac{144}{625}$. The probability of getting at least one success $= 1 - P(	ext{no success}) = 1 - \frac{144}{625} = \frac{625 - 144}{625} = \frac{481}{625}$.

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

Similar Questions

Two dice are thrown together. If the numbers appearing on the two dice are different,then what is the probability that the sum is $6$?

If $A$ and $B$ are two independent events such that $P(A) = \frac{1}{2}$ and $P(B) = \frac{1}{5}$,then which of the following is true?

In a simultaneous throw of three coins,what is the probability of getting at least $2$ tails?

If two regular six-sided dice are thrown,the probability that the sum will be a prime number is

If $A$ is a sure event,then the value of $P(A^c)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module