The total number of ways of selecting 3 stocks from 5 stocks is given by
.
Number of ways of selecting two profitable stocks when 3 stocks are selected is given by number of ways one can choose 2 stocks from 3 profitable stocks and 1 stock from 3 non-profitable stocks i.e.
Since, stocks are chosen at random, probability that she selects two profitable stocks is given by
Number of ways of selecting one profitable stock when 3 stocks are selected is given by number of ways one can choose 1 stock from 2 profitable stocks and choose 2 stocks from 3 non-profitable stock i.e.
Since, stocks are chosen at random, probability that she selects one profitable stock is given by
3/10; 3/5