Probability and writing it as a fraction

Question

You randomly draw twice from this deck of cards:

G, H, C, F, B, C

What is the probability of drawing a G, then drawing a C, without replacing the first card? Write your answer as a fraction.

Answer 1

2C cards

1 G 1 H, 1 F, 1 B

6 total cards

P(G 1st draw) = 1/6

P(G then C without replacement) = 1/6 x 2/5 = 1/15

1 out of 6 outcomes on 1st draw is G

2 out of 5 outcomes on 2nd draw are C cards

multiply the probabilities together

1/6 x 2/5 = 2/30 = 1/15

1/15 = .0666... = 6 2/3 % chance