Please correct me if i am wrong ..what i am thinking is cards are numbered from 1 to 15 ..we have tp find the probability when seven cards selected the largest number appearing on a card is 9 so until an unless the other 6 are either of 1,2,3,4,5,6,7,8 this is not possible so i counted like that and there are 7 * 8c6 ways of selecting such type of cards total ways of selecting 7 cards out of 15 is 15c 7 so probability is (7*8C6)/15c7 ...please check my answer