Question 1068589
The drawing of the first apple changes the ratio of the two types of apples.
That ratio is not the same for the picking of the second apple.
 
A) For the first pick the probability of getting an eating apple is
{{{5/(5+3)=5/8}}} .
That means that if you did it a million times {{{5/8}}} of the first apple picks would be eating apples.
For the second pick there is a total of {{{8-1=7}}} apples,
and if the first pick was an eating apple,
there are still {{{3}}} cooking apples in the bag,
so your chance of picking a cooking apple after having picked an eating apple is
{{{3/7}}} .
All in all, if you did the experiment a million times,
{{{5/8}}} of those times your first pick would be an eating apple,
and of those times
{{{3/7}}} of the time your second pick would be a cooking apple,
so that sequence of events would happen {{{(5/8)*(3/7)=highlight(15/56)}}} of the times.
 
B) The wording you posted is suspicious.
I wonder if you may have been trying to type that neither one of the apples picked is an eating apple.

There is a {{{15/56}}} probability that a cooking apple is picked after an eating apple is picked.
There is a {{{(3/8)*(5/7)=15/56}}} probability that a cooking apple is picked before an eating apple is picked.
There is a {{{(3/8)(2/7)=6/56}}} probability that first pick and the second pick are both cooking apples.
There is a {{{(5/8)(4/7)=20/56}}} probability that first pick and the second pick are both eating apples.
What are we asked for?
The probability that none of the two apples is an eating apple? That is {{{6/56}}} .
The probability that exactly one of the apples picked is an eating apple? That is {{{15/56+15/56=30/56}}} .
The probability that at least one of the two apples picked is an eating apple (and maybe both are)>? That is {{{1-6/56=50/56}}} .
{{{drawing(300,300,-3,8,-1,10,
green(rectangle(0,1,7,2)),
green(rectangle(0,4,7,5)),
green(rectangle(0,6,7,7)),
green(rectangle(1,0,2,8)),
green(rectangle(3,0,4,8)),
green(rectangle(5,0,6,8)),
line(0,0,7,0),line(-1.8,3,7.8,3),
line(0,8,7,8),red(line(5,-0.9,5,3)),
red(line(4,3,4,9)),red(line(4,3,5,3)),
line(0,0,0,8),line(7,0,7,8),
locate(-2.1,1.7,cooking),
locate(-1.9,5.7,eating),
locate(-3,4,first),locate(-3,3.6,pick),
arrow(-2.5,4,-2.5,8),arrow(-2.5,3,-2.5,0),
locate(1,8.7,red(eating)),locate(4.4,8.7,red(cooking)),
locate(2,9.7,red(second)),locate(4,9.7,red(pick)),
red(arrow(1.9,9.4,0,9.4)),red(arrow(5.1,9.4,7,9.4))
)}}}