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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

1. Probability of Simple Events

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Exercise 1 Page 714

Use the Probability Formula.

Fraction: 1/9
Decimal: 0.1
Percent: 11.1 %

Practice makes perfect

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 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 1 tile with D, which is the number of favorable outcomes. Now we have enough information to calculate P(D).

P=Favorable Outcomes/Possible Outcomes

SubstituteValues

Substitute values

P(D)=1/9

The probability of choosing a D-tile is 19. 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.

division

The quotient is a repeating decimal, so we draw a horizontal bar on top of the repeated digits. We found that 19 expressed as a decimal is 0.1.

As a Percent

To write a fraction as a percent, we first find an equivalent fraction with a denominator of 100. 1/9=p/100 Let's solve the equation for p.

1/9 = p/100

LHS * 100=RHS* 100

1/9* 100 =p/100* 100

FracMultDenomToNumber

a/100* 100 = a

1/9* 100 = p

Write as a decimal

0.111111... * 100 = p

Multiply

11.111111... = p

Rearrange equation

p = 11.111111...

The fraction written as a percent is 11.1 %.

Subchapter links

Guided Practice p.714

Independent Practice p.715-716

H.O.T. Problems p.716

Standardized Test Practice p.716-718

Extra Practice p.717

Common Core Review p.718