Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
