You have 40 different books (20 math books, 15 history books, and 5 geography books). a. you pick one book at random. what is the probability that the book is a history book? b. you pick two books at random, one at a time. what is the probability that both books are history books? c. you pick two books at random, one at a time. what is the probability that the two books are from different disciplines?

a.  

b.  

c.  

Step-by-step explanation:

Given,

Total books = 40,

Maths books = 20,

History books = 15,

Geography books = 5,

a. If a book is randomly selected,

Then the probability that the book is a history book,

b. If two book is randomly selected,

Then the probability that both books are from history,

c. If two book is randomly selected,

Ways of selecting any two books from different subjects

= maths and history + maths and geography + history and geography,

Then the probability that both books are from different subjects

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)