A bag contains hair ribbons for a spirit rally.The bag contains 3 black ribbons and 12 green ribbons.Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons.What is the probability that Lila selects a black ribbon and Jessica selects a green ribbon?Express your answer as a fraction in simplest form.A. 4/25 B. 4/35 C. 11/70 D. 6/35
Accepted Solution
A:
3 black ribbons and 12 green ribbons so P(Lila selects a black ribbon)=3/(3+12) =1/5 2 black ribbons and 12 green ribbons left P(Jessica selects a green ribbon)=12/(12+2) =6/7
so P(Lila selects a black ribbon and Jessica selects a green ribbon) =1/5*6/7 =6/35