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."

Respuesta :

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

Probability = number of required outcome / number of possible outcome

[tex]\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}[/tex][tex]\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}[/tex][tex]\begin{gathered} \text{Probability (picking a black and green ) = }\frac{\text{ 3}}{20}\text{ x }\frac{17}{20} \\ \text{Probability (picking a black and green) = }\frac{51}{400} \end{gathered}[/tex]

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

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