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Sagot :
Using Venn probabilities, and supposing the incomplete probabilities, it is found that there is a 0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.
What is a Venn probability?
In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The first step to solve a problem using Venn probabilities is identifying the events. In this problem, they are:
- Event A: Fiction.
- Event B: White cover.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this problem:
- The probability that a randomly-chosen book is fiction is 0.15, hence [tex]P(A) = 0.15[/tex].
- The probability that randomly-chosen book has a white cover is 0.3, hence [tex]P(B) = 0.3[/tex]
- The probability that a randomly-chosen book is fiction and has a white cover is 0.1, hence [tex]P(A \cap B) = 0.1[/tex]
Then:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cup B) = 0.15 + 0.3 - 0.1[/tex]
[tex]P(A \cup B) = 0.35[/tex]
0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.
You can learn more about Venn probabilities at https://brainly.com/question/25698611
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