Exercise 1 Page 715

When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that a spun color is blue we will use the Probability Formula. P=Favorable Outcomes/Possible Outcomes Let's take a look at the spinner.

The spinner has 8 sections, so the number of possible outcomes is 8. Out of these, 2 sections are blue, which is the number of favorable outcomes. Now we have enough information to calculate P(blue).

P=Favorable Outcomes/Possible Outcomes

SubstituteValues

Substitute values

P(blue)=2/8

ReduceFrac

a/b=.a /2./.b /2.

P(blue)=1/4

The probability of choosing a blue sock is 14. Next, we can rewrite the fraction as a decimal and as a percent.

As a Decimal

To write a fraction as a decimal, we divide the numerator by the denominator.

We found that 14 expressed as a decimal is 0.25.

As a Percent

To write a fraction as a percent, we first find an equivalent fraction with a denominator of 100. 1/4=p/100 Let's solve the equation for p.

1/4 = p/100

MultEqn

LHS * 100=RHS* 100

1/4* 100 =p/100* 100

FracMultDenomToNumber

a/100* 100 = a

1/4* 100 = p

MoveRightFacToNumOne

1/b* a = a/b

100/4 = p

CalcQuot

Calculate quotient

25 = p

The fraction written as a percent is 25 %.