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The graph shows the number of each kind of book in Hero's personal library. A book is chosen randomly. What is the probability that the book chosen is a biography?
A)2/15
B)4/15
C)1/30
D)1/4

The graph shows the number of each kind of book in Heros personal library A book is chosen randomly What is the probability that the book chosen is a biography class=

Respuesta :

JeanaShupp

Answer: A is the right answer .Probability of the book chosen is a biography is [tex]\frac{2}{15}[/tex].


Step-by-step explanation:

According to the given graph or pie chart

The number of biography books=4

Total books= Romance books+ Science fiction books+ Biography books+Adventure books =2+14+4+10=30

Let B be the event of choosing a biography book then

Probability of the book chosen is a biography P(B)=[tex]=\frac{biography\ books}{total\ books}=\frac{4}{30}=\frac{2}{15}[/tex]

Therefore, Probability of the book chosen is a biography is  [tex]\frac{2}{15}[/tex].

From the graph, it is found that there is a [tex]\mathbf{\frac{2}{15}}[/tex] probability that the book chosen is a biography, and the correct option is given by option A.

  • A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

  • There are 4 + 2 + 10 + 14 = 30 books in the hero's library.
  • Of those, 4 are biographies.

[tex]p = \frac{4}{30} = \frac{2}{15}[/tex]

Thus:

[tex]\mathbf{\frac{2}{15}}[/tex] probability that the book chosen is a biography, and the correct option is given by option A.

A similar problem is given at https://brainly.com/question/15536019

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