01_Probability-of-Simple-Events-Math.ppt

Probability of Simple Events
Objective:
Students will be able to find the probability of a
simple event.
Students will be able to understand the
distinction between simple events and
compound events.
Essential Question:
(1) How do I find the probability of a simple
event?
(2) How can I distinguish between a simple and
compound event?

Vocabulary:
 Outcome – one possible result of a probability.
 Sample Space – the list of possible outcomes
for a probability event.
 Random – outcomes that occur at random if
each outcome is equally likely to occur.
 Simple Event – a specific outcome or type of
outcome.
 Complementary Events – the events of one
outcome happening and that outcomes not
happening are complementary; the sum of the
probabilities of complementary events is 1.

Real World Example:
Best Buy is having an IPOD giveaway.
They put all the IPOD Shuffles in a
bag. Customers may choose an IPOD
without looking at the color. Inside the
bag are 4 orange, 5 blue, 6 green, and
5 pink IPODS. If Maria chooses one
IPOD at random, what is the probability
she will choose an orange IPOD?

Real World Example:
Best Buy is having an IPOD giveaway.
They put all the IPOD Shuffles in a
bag. Customers may choose an IPOD
without looking at the color. Inside the
bag are 4 orange, 5 blue, 6 green, and
5 pink IPODS. If Maria chooses one
IPOD at random, what is the probability
she will choose an orange IPOD?
P(orange) = 4/20 = 2/10 = 1/5 or 20%

What is a PROBABILITY?
- Probability is the chance that some
event will happen
- It is the ratio of the number of
ways a certain event can occur to
the number of possible outcomes

number of favorable outcomes
number of possible outcomes
Examples that use Probability:
(1) Dice, (2) Spinners, (3) Coins, (4) Deck of
Cards, (5) Evens/Odds, (6) Alphabet, etc.
P(event) =

0% 25% 50% 75% 100%
0 ¼ or .25 ½ 0r .5 ¾ or .75 1
Impossible Not Very Equally Likely Somewhat Certain
Likely Likely

Example 1: Roll a dice.
What is the probability of rolling a 4?
# favorable outcomes
# possible outcomes
1
6
The probability of rolling a 4 is 1 out of 6
P(event) =
P(rolling a 4) =

Example 2: Roll a dice.
What is the probability of rolling an even
number?
# possible outcomes
3 1
6 2
The probability of rolling an even number is 3 out of 6 or .5
or 50%
P(event) =
P(even #) = =

Example 3: Spinners.
What is the probability of spinning green?
# possible outcomes
1 1
4 4
The probability of spinning green is 1 out of 4 or .25 or
25%
P(event) =
P(green) = =

Example 4: Flip a coin.
What is the probability of flipping a tail?
# possible outcomes
1 1
2 2
The probability of spinning green is 1 out of 2 or .5 or 50%
P(event) =
P(tail) = =

Example 5: Deck of Cards.
What is the probability of picking a heart?
# favorable outcomes 13 1
# possible outcomes 52 4
The probability of picking a heart is
1 out of 4 or .25 or 25%
What is the probability of picking a non heart?
# favorable outcomes 39 3
# possible outcomes 52 4
The probability of picking a heart is
3 out of 4 or .75 or 75%
P(heart) = = =
P(nonheart) = = =

Key Concepts:
- Probability is the chance that some
event will happen
- It is the ratio of the number of
ways a certain even can occur to
the total number of possible
outcomes

Guided Practice: Calculate the probability
of each independent event.
1) P(black) =
2) P(1) =
3) P(odd) =
4) P(prime) =

Guided Practice: Answers.
1) P(black) = 4/8
2) P(1) = 1/8
3) P(odd) = 1/2
4) P(prime) = 1/2

Independent Practice: Calculate the
probability of each independent event.
1) P(red) =
2) P(2) =
3) P(not red) =
4) P(even) =

Independent Practice: Answers.
1) P(red) = 1/2
2) P(2) = 1/4
3) P(not red) = 1/2
4) P(even) = 1/2

Real World Example:
A computer company manufactures 2,500
computers each day. An average of 100 of
these computers are returned with defects.
What is the probability that the computer
you purchased is not defective?
P(not defective) = # not defective = 2,400 = 24
total # manufactured 2,500 25

Homework:
- Workbook Practice 11-1

01_Probability-of-Simple-Events-Math.ppt

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