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

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) =

P(hardcover/reference) =

P(hardcover/reference) = .

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

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The probability that a randomly selected reference book is hardcover is 0.4 ⇒ 2nd answer  

Step-by-step explanation:

Lets write the table to solve the problem

→                    :  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) =

- Simplify it by divide up and down by 5

∴ P(hardcover/reference) = = 0.4

∴ P(hardcover/reference) = 0.4

The probability that a randomly selected reference book is hardcover is 0.4  

its definatley   this on your answer choice?

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b