Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
0.27 = 27% probability that you receive the TOG scolarship.
Step-by-step explanation:
I am going to solve this question treating these probabilities as Venn probabilities.
I am going to say that:
Event A: TOG scolarship
Event B: VEOP scolarship
The probability that you receive the VEOP scholarship is 0.25
This means that [tex]P(B) = 0.25[/tex]
Probability that you receive both scholarships is 0.15
This means that [tex]P(A \cap B) = 0.15[/tex]
The probability that you get at least one of these scholarships is 0.37.
This means that [tex]P(A \cup B) = 0.37[/tex]
What is the probability that you receive the TOG?
This is P(A). These measures are related by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]
Replacing with the values in this question
[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]
0.27 = 27% probability that you receive the TOG scolarship.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
