Question

An urn contains 25 balls numbered 1 to 25. Suppose getting an odd numbered ball is considered a 'success'. If two balls are drawn from the urn with replacement.
Find the probability of getting two successes.

• A. $\frac{169}{625}$
• B. $\frac{312}{626}$
• C. $\frac{481}{626}$
• D. $\frac{144}{625}$

Answer 1

The correct option is A $\frac{169}{625}$

$Success:GettingoddnumberP=\frac{13}{25}$

$\Rightarrow q=1-P=1-\frac{13}{25}=\frac{12}{25}$

$P\left(twosuccesses\right)=P\times P$

$=\frac{13}{25}\times \frac{13}{25}=\frac{169}{625}$