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 both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.

Answer 1

`\boxed{\sf (14)/(95)}`

Step-by-step explanation:

Black ribbons = 8 ribbons

Green ribbons = 12 ribbons

Total ribbons: 12 + 8 = 20 ribbons

`\sf Probability = (Favorable \ Outcomes)/(Total \ Possible \ Outcomes)`

For Lila:

`\sf Lila \ picks \ black \ : \ (8)/(20)`

Left black ribbons: 8 - 1 = 7 black ribbons

Left total ribbons: 20 -1 = 19 total ribbons

For Jessica:

`\sf Jessica \ picks \ black \ : \ (7)/(19)`

Probability that they both pick black ribbons:

`\sf \rightarrow (8)/(20) \ x \ (7)/(19)`

`\sf \rightarrow (14)/(95)`