altogether there are 27 juices
probability of apple juice = 12/27
probability of grape juice = 15/27
probability of sugar free = 14/27
probability of not sugar free = 13/27
They already said the juice that is chosen is definitely NOT sugar free, so we dont need to include the probability of that because we already know it.
apple juice = 12
sugar free = 9
12 - 9 = 3 not sugar free
grape juice = 15
sugar free = 5
15 - 5 = 10 not sugar free
we need the not sugar free ones, so 3 + 10 = 13
out of 13 not sugar free, 10 are grape juice, so the probability of not sugar free grape juice = 10/13, so the answer is A)
srry if this is too long, i take too long to explain things, but i hope this still helps
