Exercise 2 Page 714

When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that a randomly chosen letter tile is S, V, or L. we will use the Probability Formula. P=Favorable Outcomes/Possible Outcomes Let's take a look at the tiles.

There is a total of 9 letter tiles. This means that the number of possible outcomes is 9. Out of these, there is one tile with S, one tile with L, and one tile with L. The number of favorable outcomes is 3. Now we have enough information to calculate P(S, V, or L).

P=Favorable Outcomes/Possible Outcomes

SubstituteValues

Substitute values

P(S, V, or L)=3/9

ReduceFrac

a/b=.a /3./.b /3.

P(S, V, or L)= 3/3/9/3

CalcQuot

Calculate quotient

P(S, V, or L)= 1/3

The probability of choosing a S, V, or L is 13. 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.

The quotient is a repeating decimal, so we draw a horizontal bar on top of the repeated digits. We found that 13 expressed as a decimal is 0.3.

As a Percent

To write a fraction as a percent, we first find an equivalent fraction with a denominator of 100. 1/3=p/100 Let's solve the equation for p.

1/3 = p/100

MultEqn

LHS * 100=RHS* 100

1/3* 100 =p/100* 100

FracMultDenomToNumber

a/100* 100 = a

1/3* 100 = p

WriteDec

Write as a decimal

0.333333... * 100 = p

Multiply

Multiply

33.333333... = p

RearrangeEqn

Rearrange equation

p = 33.333333...

The fraction written as a percent is 33.3 %.