Question

there are 3 literature books, 4 algebra books, and 2 biology on a shelf. if a book is randomly selected, what is the probability of selecting a literature book or an algebra book?

Answer 1

Answer:

$\frac{7}{9}$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

$P=\frac{x}{y}$

step 1

Find the probability of selecting a literature book

we have

$x=3$

$y=3+4+2=9$

substitute

$P=\frac{3}{9}$

step 2

Find the probability of selecting an algebra book

we have

$x=4$

$y=3+4+2=9$

substitute

$P=\frac{4}{9}$

step 3

Find the probability of selecting a literature book or an algebra book

Adds the probability of selecting a literature book plus the probability of selecting an algebra book

$P=\frac{3}{9}+\frac{4}{9}=\frac{7}{9}$

Answer 2

Answer:

Step-by-step explanation:

Is it mutually exclusive?