Exercise 3 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 not D 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 8 tiles with a letter other than D, which is the number of favorable outcomes. Now we have enough information to calculate P(not D).

P=Favorable Outcomes/Possible Outcomes

SubstituteValues

Substitute values

P(not D)=8/9

The probability of choosing a D-tile is 89. 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 89 expressed as a decimal is 0.8.

As a Percent

To write a fraction as a percent, we first find an equivalent fraction with a denominator of 100. 8/9=p/100 Let's solve the equation for p.

8/9 = p/100

MultEqn

LHS * 100=RHS* 100

8/9* 100 =p/100* 100

FracMultDenomToNumber

a/100* 100 = a

8/9* 100 = p

WriteDec

Write as a decimal

0.888888... * 100 = p

Multiply

Multiply

88.888888... = p

RearrangeEqn

Rearrange equation

p = 88.888888...

The fraction written as a percent is 88.8 %.