Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals 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
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
