Counting: Videos & Practice Problems

A local raffle requires participants to select $5$ different numbers from $1$ to $50$ and, in a separate drawing, a single number from $1$ to $10$. In the past, the raffle required participants to select $5$ different numbers from $1$ to $60$ and a separate single number from $1$ to $8$. The probability of winning the old raffle (selecting $5$ numbers from $1$ to $60$ and $1$ number from $1$ to $8$) is $\frac{1}{43,692,096}$.
How does the probability of winning the new raffle (selecting $5$ numbers from $1$ to $50$ and 1 number from $1$ to $10$) compare to the probability of winning the old raffle?