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

The two-way table shows the number of books of each type in Eliza's home ​what is-example-1
User CHP
by
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2 Answers

2 votes

Answer:

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

0.4

Explanation:

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)=(P(A\bigcap B))/(P(A))

From the table we have:


P(A)=(25)/(60)=(5)/(12)

and


P(A\bigcap B)=(10)/(60)=(1)/(6)

Hence, we have:


P(B|A)=((1)/(6))/((5)/(12))\\\\\\P(B|A)=(2)/(5)\\\\\\P(B|A)=0.4

Hence, the answer is:

0.4

User Kappe
by
5.1k points
1 vote

Answer:

B. 0.4

Explanation:

Use the definition of the probability


Pr=\frac{\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=(10)/(25)=(40)/(100)=0.4

User Naeg
by
5.2k points