MATH SOLVE

3 months ago

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

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