Choose 5 #s from 1-39 w/replacement and 1 # from 1-19. find prob of matching all 5 and the #1 in single play.?

Answer 1

Assuming order matters on the first 5 numbers, there are 39 x 39 x 39 x 39 x 39 x 19 combinations of draws. Only one matches with your selection making the odds
1 in 1,714,259,781

Answer 2

First we pick 1 num from 1-39. Suppose we want to pick x, which will be the same for all the draws, we have a probability of 1/39. For all subsequent draws we have a probability of 1/39. For the final draw we have a probability of 1/19. So entire probability P is
P = (1/39)^5 * (1/19) = 5.8334215798766383121485599387109 * 10^-10
or in short not very likely