Question

A bag contains 6 red marbles, 4 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?

Answer 1

Total number of marbles = 18

Number of green marbles = 8

Number of ways to choose 3 green marbles =
`8C_3`

Number of ways to choose 3 marbles from the total 18 marbles=
`18C_3`

Probability 0f choose 3 green from 18 marbles

=
`(8C_3)/(18C_3)`

= 0.0686 = 6.9%