Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.
Sagot :
EXPLANATION:
Given;
We are told that a bag contains the following;
[tex]\begin{gathered} Black\text{ }ribbons=18 \\ \\ Green\text{ }ribbons=2 \\ \\ Total=20 \end{gathered}[/tex]Lila selects a ribbon at random and then Jessica selects a ribbon at random from the remaining ones.
Required;
Calculate the probability that Lila selects a black ribbon and Jessica selects a green ribbon.
Step-by-step solution;
The probability of an event is calculated by the formula given below;
[tex]P[Event]=\frac{number\text{ }of\text{ }required\text{ }outcomes}{number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}[/tex]For Lila to select a black ribbon, we have;
[tex]\begin{gathered} P[black]=\frac{18}{20} \\ \\ P[black]=\frac{9}{10} \end{gathered}[/tex]Now we have 19 ribbons left, note that Jessica had to select from the remaining ribbons.
For Jessica to select a green ribbon, we have;
[tex]P[green]=\frac{2}{19}[/tex]Next to calculate the probability that Lila selects a black ribbon and Jessica selects a green ribbon we have a product of probabilities;
[tex]\begin{gathered} P[black]\text{ }and\text{ }P[green]=\frac{9}{10}\times\frac{2}{19} \\ \\ P[black]\text{ }and\text{ }P[green]=\frac{9}{95} \end{gathered}[/tex]Therefore,
ANSWER:
The probability that Lila selects a black ribbon and Jessica selects a green ribbon is,
[tex]\frac{9}{95}[/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
