Question

A bag contains hair ribbons for a spirit rally. The bag contains 8 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.

Answer 1

The Probability of that Lila selects a black ribbon and Jessica selects a green ribbon = 6/35. What is Probability? Probability is possibility that deals with "occurrence of random event. It values varies from 0 to 1". According to the question,

Number of black ribbon = 3

Number of green ribbon = 12

Total number of ribbon = 3+12 =15

Formula for Probability of an event P(E) = (Number of favorable outcomes) /(Total number of outcomes)

Probability of Lila selecting black ribbon =3/15

Jessica selects a ribbon at random from the remaining ribbons, therefore total number of ribbons is reduced to 14.

Probability of Jessica selecting Green ribbon = 12/14

The Probability of that Lila selects a black ribbon and Jessica selects a green ribbon =(3/15)(12/14)=6/35.Hence, the Probability of that Lila selects a black ribbon and Jessica selects a green ribbon is 6/35.