A box contains 9 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are...

Question

Question

A box contains 9 green marbles, 6 blue marbles, and 8 red marbles.

Three marbles are selected at random from the box, one at a time, without replacement.

Find the probability that the three marbles selected are all different colors.

Answer 1

Answer #1

Sol:

total marbles=9G+6B+8R=23 marbles

selecting 3 marbles of different colours i 9c1*6c1*8c1

drawing 3 balls from 23 balls=23C3

probability that the three marbles selected are all different colors=favourable outcomes /possible outcomes

=9c1*6c1*8c1/23C3

=432/1771

= 0.24393

probability that the three marbles selected are all different colors.=0.24393

Answer 2

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