Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
The probability that Alice and Bob form a match is [tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex].
To answer the question, we use the probability by its complement.
What is Complement of An Event?
The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.
In this case, probability space is ([tex]^{24} C_{5}[/tex])^2 where there is match for 4 or 5.
For number of ways for 5 adjectives match is ([tex]^{24} C_{5}[/tex]).
For number of ways for 4 adjectives match is ([tex]^{24} C_{4}[/tex])*20*19.
We first choose 4 adjectives which are match and then there are 20*19 ways for both of them to choose an adjective each from remaining 20 adjectives.
Then, the desired probability is:
[tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex]
Learn more about complement at: https://brainly.com/question/13723132
#SPJ4
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
