# Math Help - [SOLVED] 10 marbles in a set- 7 red, 3 green. P(1 green) in sample of 5 ?

1. ## [SOLVED] 10 marbles in a set- 7 red, 3 green. P(1 green) in sample of 5 ?

A bag contains 10 marbles - 7 red, and 3 green. What is the probability that there will be exactly 1 green marble in a sample of 3?

Is it:
$\frac{3}{10} * \frac{7}{9} * \frac{6}{8} * 3C1$ ?

2. Is that equal to $\frac{{3 \choose 1}{7 \choose 2}}{{10 \choose 3}}$?

3. Originally Posted by Plato
Is that equal to $\frac{{3 \choose 1}{7 \choose 2}}{{10 \choose 3}}$?
Yeah, apparently it is. Thank you.