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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.
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