Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Using conditional probability, it is found that there is a 0.24 = 24% probability that they were actually born in England.
What is Conditional Probability?
- Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: The person is a fan of J.K. Rowling.
- Event B: The person was born in England.
The percentages associated with the person being a fan of J.K. Rowling are:
- [tex]\frac{3}{5} = 0.6[/tex] of [tex]\frac{1}{20} = 0.05[/tex](born in England).
- [tex]\frac{1}{10} = 0.1[/tex] of [tex]\frac{19}{20} = 0.95[/tex](not born in england).
Hence:
[tex]P(A) = 0.6(0.05) + 0.1(0.95) = 0.125[/tex]
The probability of both is:
[tex]P(A \cap B) = 0.6(0.05) = 0.03[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{0.03}{0.125} = 0.24[/tex]
0.24 = 24% probability that they were actually born in England.
To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
