01_Probability of Simple Events.ppt

Probability

3. Probability
of Simple
Events

4. Probability of Simple Events
Objective:
You will be able to find the probability of a
simple event.
Youwillbeabletounderstandthedistinction
betweensimpleeventsandcompoundevents.
EssentialQuestion:
(1) How do I find the probability of a simple
event?
(2) How can I distinguish between a simple and
compound event?

5. Probability of Simple Events
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 complimentary; the sum of the
probabilities of complementary events is 1.

6. Real World Example:
BestBuyishavinganIPODgiveaway.
TheyputalltheIPODShufflesina
bag.CustomersmaychooseanIPOD
withoutlookingatthecolor.Insidethe
bagare4orange,5blue,6green,and
5pinkIPODS.IfMariachoosesone
IPODatrandom,whatistheprobability
shewillchooseanorangeIPOD?
Probability of Simple Events

7. Real World Example:
BestBuyishavinganIPODgiveaway.
TheyputalltheIPODShufflesina
bag.CustomersmaychooseanIPOD
withoutlookingatthecolor.Insidethe
bagare4orange,5blue,6green,and
5pinkIPODS.IfMariachoosesone
IPODatrandom,whatistheprobability
shewillchooseanorangeIPOD?
P(orange)=
4
/
20=
2
/
10=
1
/
5
or20%
Probability of Simple Events

8. 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
Probability of Simple Events

9. Probability
Refers to the likelihood for
something to happen.
It is also often refers to as the
measure of chances.

10. Experiment–the activity that is
being done.
Outcomes–possible results of the
experiment.
Sample Space–Set of all possible
outcomes of an experiment.
Event-Any subset of possible
outcomes for an experiment.

11. What is a PROBABILITY?
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
Probability of Simple Events

12. What is a PROBABILITY?
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.
Probability of Simple Events
P(event) =

13. 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
Probability of Simple Events
P(event) =
P(rolling a 4) =

14. Example 2:Roll a dice.
What is the probability of rolling an even
number?
# favorable outcomes
# possible outcomes
31
62
The probability of rolling an even number is 3 out of 6 or .5
or 50%
Probability of Simple Events
P(event) =
P(even #) = =

15. Example 3:Spinners.
What is the probability of spinning green?
# favorable outcomes
# possible outcomes
11
44
The probability of spinning green is 1 out of 4 or .25 or
25%
Probability of Simple Events
P(event) =
P(green)==

16. Example 4:Flip a coin.
What is the probability of flipping a tail?
# favorable outcomes
# possible outcomes
11
22
The probability of spinning green is 1 out of 2 or .5 or 50%
Probability of Simple Events
P(event) =
P(tail)==

17. 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%
Probability of Simple Events
P(heart) = = =
P(nonheart)= = =

18. Key Concepts:
-Probability is the chance that some
event will happen
-It is the ratioof the number of
ways a certain even can occurto
the total number of possible
outcomes
Probability of Simple Events

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

20. Guided Practice: Answers.
1) P(black) =
4
/
8
2) P(1) =
1
/
8
3) P(odd) =
1
/
2
4) P(prime) =
1
/
2
Probability of Simple Events

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

22. Independent Practice: Answers.
1) P(red) =
1
/
2
2) P(2) =
1
/
4
3) P(not red) =
1
/
2
4) P(even) =
1
/
2
Probability of Simple Events

23. Real World Example:
Acomputercompanymanufactures2,500
computerseachday.Anaverageof100of
thesecomputersarereturnedwithdefects.
Whatistheprobabilitythatthecomputer
youpurchasedisnotdefective?
P(notdefective)= #notdefective =2,400=24
total#manufactured 2,50025
Probability of Simple Events

24. Seatwork:
Page 163, Letter A only.
My Distance Learning Buddy
Probability of Simple Events