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Warm Up. Solve each Proportion:. Write each fraction as a Decimal and a percent:. 1). X=9. 4). .95; 95%. .62; 62%. 2). X=43.75. 5). 1.1; 110%. 3). X=10.5. 6). Lesson 12.1. SSS: M.A.A.1.3.3 M.A.E.2.3.2. Probability. Vocabulary: Outcome, event,

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warm up
Warm Up

Solve each


Write each fraction as a

Decimal and a percent:




.95; 95%

.62; 62%




1.1; 110%





Lesson 12.1

SSS: M.A.A.1.3.3 M.A.E.2.3.2


Vocabulary: Outcome, event,

Theoretical probability, complement,

Odds in favor, odds against

6th Advanced


An outcome is the result of an action.

For example: 6 is a possible outcome when a number cube is rolled once.

An event is an outcome or a group of outcomes.

If all outcomes are equally likely, you can use

A formula to find the theoretical probability.

theoretical probability = p(event) =


Suppose you select a letter at random from

the following letters: A B C D E

Find the probability that you select a vowel.

Express the probability as a fraction, decimal, and a percent.

The event vowel has 2 favorable outcomes,

And there are 5 possible outcomes…so…

= .4 = 40%

P(vowel) =

*Now you find P(consonant)

Don’t forget to express the probability as a fraction, decimal,

and a percent.

P(consonant) =

= .6 = 60%


All probabilities range from 0 to 1. The

Probability of rolling a 7 on a number cube

is 0, because it is an impossible event. The

Probability of rolling a number less than 7 is

1, because it is a certain event.





Find the following probabilities if you roll a number cube once.

P(multiple of 3)

P(even number)

P(multiple of 8)


The complement of an event is the collection of

outcomes not contained in the event. The

Probability of the compliment of an event is

Written P(not event).

*An event plus its compliment will always equal 1, because it will

always be certain.

For Example: Earlier we found the probability of selecting a Vowel/Consonant from the letters: A B C D E

P(vowel) = .4 P(consonant) = .6

Using the compliment we can say P(vowel) + P(not vowel)

.4 + .6 = 1

Find the following:

(You roll a standard number cube once.)

P(not multiple of 3)

P(not even)


Odds in favorof an event = the ratio of the

number of favorable outcomes to the number

of unfavorable outcomes

Odds against an event = the ratio of the

number of unfavorable outcomes to the number

of favorable outcomes

Find the odds that a ball chosen at random

will be blue.


Find the odds against choosing a black



reason out the following
Reason out the following…

A bag contains an unknown number of marbles.

You know that P(red)= and P(green)=

a. Are all the marbles in the bag red or green? Explain.

We know that out of every 4 marbles in the bag, 1 is

red and 1 is green. So we also know that out of every

4 marbles 2 are a color other than red or green.

How many marbles in total might be in the bag?


It can be any positive integer that is divisible by four.

We know this because we were told that one-fourth

of the number is either red or green.