As PowerBall has has 26 power balls, so I assume the odd to win the lowest prize (having the right power ball) should be 1 in 26, however the site says 1 in 38.32 Also MegaMillions game has 25 mega balls, so I assume the odds for lowest prize is 1 in 25, but it's 1 in 37 on the website.
What am I missing here??
Edited
For powerball game, the player chooses five numbers 1 to 69 and one number 1 to 26 to be Power ball. For the lowest prize when you have the right power ball regardless of other 5 balls, I don't find any relation to calculate the odds for other balls. That's why I see something is wrong and I posted the question. and It should simply be 1 in 26, but their website says 1 in 38.32
With $69$ normal balls and $26$ power balls...
The probability to match the powerball and possibly match more than just that will indeed be $\dfrac{1}{26}$
The probability to match the powerball and not match anything else... well, there are $\binom{69}{5}$ different selections of $5$ different numbers possible. $\binom{64}{5}$ of those selections happen to miss all five of the correct numbers. The probability of missing all normal numbers but matching the powerball will be $\dfrac{\binom{64}{5}}{26\cdot\binom{69}{5}}$ which is approximately $\dfrac{1}{38.3239\dots}$
You are reading the information incorrectly.