Question 1044072
The probability of picking NO apples for a selection of any number is 


{{{( sum((matrix(2,1,5,k)), k=1, 5))/( sum((matrix(2,1,9,k)), k=1, 9)) = (2^5-1)/(2^9-1) = 31/511}}}.


Therefore the probability that he picks  at least one apple is {{{1 - 31/511 = highlight(480/511)}}}.