(A) Total balls in the urn = $25$.Odd numbers between $1$ and $25$ are ${1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}$.Number of odd balls = $13$.Pr

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(A) Total balls in the urn = $25$.Odd numbers between $1$ and $25$ are ${1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}$.Number of odd balls = $13$.Probability of success $(p)$ = $\frac{13}{25}$.Since the balls are drawn with replacement,the trials are independent.The probability of getting two successes in two draws is $P = p \times p$.$P = \frac{13}{25} \times \frac{13}{25} = \frac{169}{625}$.

Competitive Quantitative Aptitude Probability Probability

Easy

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 two successes.

A
$\frac{169}{625}$
B
$\frac{312}{625}$
C
$\frac{481}{625}$
D
$\frac{144}{625}$

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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 two successes.

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