Question 1157262
the probability that any one picked out of the 9 is blue is 7/9.
the probability that any one picked out of the 9 is red is 2/9.
the probability that the first one picked at random is blue is 7/9
the probability that the second one picked at random is blue is 6/8.
this is because the problem is without replacement.
the probability that all 7 are blue is therefore:
7/9 * 6/8 * 5/7 * 4/6 * 3/5 * 2/4 *  1/3 = (7*6*5*4*3*2*1) / (9*8*7*6*5*4*3) = 5040 / 181440 * c(7,7) = .027777777.....