IS it true that you got more chances to LD if you go to sleep in the noon too?
Because basically, You woke after some hours of sleep,Went to School or Work, I think you might become lucid.
yes
but only because you enter REM sleep faster
Yeah, basically what LDreamerland said. When you nap your body has already had plenty of deep sleep so you fall right into REM. This makes it easier to WILD since you don’t typically have to wait as long for the onset of HI etc. and you don’t have to try and stay awake through deep sleep. It also makes MILD easier because you go right to sleep and your intention doesn’t get as much time to “dissipate” over the night.
During naps is the best time to try to LD because you go into REM sleep almost instantly. WILD’s are a good method to use because it’s so effective when you get to REM. 
And chance of LD increases if you nap one or 2 hours after getting up from bed 
or if youre VERY sleepy (like this 
). Hope this is an answer 