Question

A bag contains hair ribbons for a spirit rally. The bag contains 3 black ribbons and17 green ribbons. Lila and Jessica are drawing from the bag at random. Calculatethe probability of Lila selecting a black ribbon, keeping it, and then Jessicaselecting a green ribbon. Express your answer as a fraction in simplest form."

Answer 1

A bag contains hair ribbons for a spirit rally as shown below

Probability = number of required outcome / number of possible outcome

`\begin{gathered} \text{Probability (Lila picking a black) = }\frac{\text{ number of black}}{\text{}Total} \\ \text{Probability (Lila picking a black) = }\frac{\text{ 3}}{20} \end{gathered}`
`\begin{gathered} \text{Probability (Jessica picking a gr}een\text{) = }\frac{\text{ number of green}}{Total} \\ \text{Probability (Jessica picking a green) = }\frac{\text{ 1}7}{20} \end{gathered}`
`\begin{gathered} \text{Probability (picking a black and green ) = }\frac{\text{ 3}}{20}\text{ x }(17)/(20) \\ \text{Probability (picking a black and green) = }(51)/(400) \end{gathered}`

Hence the probability of picking (black and green) = 51/400