Q:

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

ans is D