The two-way table shows the number of books of each type in Eliza’s home. A 5-column table has 3 rows. The first column has entries hardcover, paperback, total. The second column is labeled Fiction with entries 28, 4, 32. The third column is labeled biographies with entries 2, 1, 3. The fourth column is labeled Reference with entries 10, 15, 25. The fifth column is labeled Total with entries 40, 20, 60. What is the probability that a randomly selected reference book is hardcover? 0.25 0.4 0.6 0.75

Respuesta :

The probability of selected reference book is hardcover is 0.4.

Given A 5-column table has 3 rows.

                    Fiction   Biographies  Reference    Total

Hardcover   28           2                      10                  40

Paperback   4             1                       15                  20

Total             32         3                       25                  60

The probability of selected reference book is hardcover means the total outcomes is the reference book and the event is hardcover.

The total of the reference books is 25

The number of reference books with hardcover is 10.

Probability rule for any event A = A outcomes / total outcomes.

P(hardcover/reference) = [tex]\frac{10}{25}[/tex]

P(hardcover/reference) = [tex]\frac{2}{5}[/tex]

P(hardcover/reference) = [tex]0.4[/tex].

Hence the probability of selected reference book is hardcover is 0.4.

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