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Otrada [13]
4 years ago
5

The two-way table shows the number of books of each type in Eliza's home ​what is the probability that a randomly selected refer

ence book is hard cover

Mathematics
2 answers:
Readme [11.4K]4 years ago
7 0
<h2>Answer:</h2>

Hence, the probability that a randomly selected reference book is a hardcover is:

                             0.4

<h2>Step-by-step explanation:</h2>

Let A denote the event that the book selected is a reference book.

and B denote the event that the book  is hardcover.

Let P denote the probability of an event.

We are asked to find:

                  P(B|A)

We know that:

P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}

From the table we have:

P(A)=\dfrac{25}{60}=\dfrac{5}{12}

and

P(A\bigcap B)=\dfrac{10}{60}=\dfrac{1}{6}

Hence, we have:

P(B|A)=\dfrac{\dfrac{1}{6}}{\dfrac{5}{12}}\\\\\\P(B|A)=\dfrac{2}{5}\\\\\\P(B|A)=0.4

           Hence, the answer is:

                 0.4

Salsk061 [2.6K]4 years ago
6 0

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

  • Number of all possible outcomes = Number of Reference books = 25
  • Number of all favorable outcomes = Number of Hardcover Reference books = 10

So, the probability is

Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4

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