Abag contains five blue marbles, 6 red ones and 9 green ones. two marbles are drawn at random, one at a time, without replacing. what is the probability of selecting two blue marbles?

a 9/20
b 3/38
c 1/19
d 11/20

There are 20 marbles all together in the bag.
5 of them are blue.

The probability of pulling a blue one on the first draw is

                     5 / 20 .

After that, there are 19 marbles left in the bag, and 4 of them are blue.
The probability of pulling a blue marble on the second draw is

                     4 / 19 .

The probability of both draws being blue is

                           (5/20) x (4/19)

                       =        1 / 19  =  5.26...%      (rounded)

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