Question

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.

Answer 1

Total ribbons = 3 + 12 = 15
So, 
3/15 = black
12/15 = green

Therefore the probability Lila selects the black ribbon first is 12/15

Because Lila has taken one away, the total now decreases by one to 14
Therefore, there are 3/14 black ribbons now, and thus the probability that Jessica takes one is 3/14.

Then you just multiply the two together, so
12/15 x 3/14 = 36/210 = 6/35

So the final, simplified answer is 6/35

Answer 2

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.

To learn more about Probability here

https://brainly.com/question/16041750

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