Question

Help with number one a-f is all part of number one.Part e is: P(7).

Answer 1

Given the spinner that goes from 1 to 8, you can identify that the total number in the spinner is:

`TotalNumbers=8\text{ }`

a. By definition, Odds Numbers are those numbers that are not divisible by 2.

In this case, you can identify that the Odd Numbers the spinner has are:

`1,3,5,7`

Knowing that there are four Odd Numbers, you can determine that:

`P(odds)=(4)/(8)`
`P(odds)=(1)/(2)`

b. By definition, Even Numbers are divisible by 2.

In this case, you can identify that the Even Numbers in the spinner are:

`2,4,6,8`

Knowing that there are four Even Numbers, you get:

`P(evens)=(4)/(8)`
`P(evens)=(1)/(2)`

c. Since there is only one number 3:

`P(3)=(1)/(8)`

d. By definition:

`P(A\text{ or}B)=P(A)+P(B)`

Then:

`P(4\text{ or }6)=P(4)+P(6)`

Since there is only one number 4 and only one number 6:

`P(4)=P(6)=(1)/(8)`

Therefore:

`P(4\text{ or }6)=(1)/(8)+(1)/(8)`

`P(4\text{ or }6)=(2)/(8)`

`P(4\text{ or }6)=(1)/(4)`

e. Since there is only one number 7:

`P(7)=(1)/(8)`

f. Knowing that there is only one number 1:

`P(1)=(1)/(8)`

Hence, the answers are:

a.

`P(odds)=(1)/(2)`

b.

`P(evens)=(1)/(2)`

c.

`P(3)=(1)/(8)`

d.

`P(4\text{ or }6)=(1)/(4)`

e.

`P(7)=(1)/(8)`

f.

`P(1)=(1)/(8)`