Question

A bag contains $17$ counters marked with the numbers $1$ to $17$. A counter is drawn and replaced; a second drawing is then made: what is the chance that the first number drawn is even and the second odd?

Answer 1

Total even number from $1$ to $17$ $=8$

Probability of drawing an even number in first time $=\frac{8}{17}$

Total odd number from $1$ to $17$ $=9$

Probability of drawing odd number in second chance $=\frac{9}{17}$

Desired probability $\frac{8}{17}\times \frac{9}{17}=\frac{72}{289}$