1. Probability of Simple Events

2. 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?

3. Probability of Simple Events
Vocabulary:
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.

4. 2 Types of Probability
Experimental Probability - is the ratio of the number
0f times an event occurs to the total number of trials or
times the activity is performed.
Theoretical Probability of an event is the number of
ways that the event can occur, divided by the total
number of outcomes. It is finding the probability
of events that come from a sample space of
known equally likely outcomes.

5. Probability of Simple Events
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?

6. Probability of Simple Events
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%

7. Probability of Simple Events
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

8. Probability of Simple Events
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.
P(event) =

9. Probability of Simple Events
What is a PROBABILITY?
0% 25% 50% 75% %
0 ¼ or ½ 0r ¾ or
Impossible Not Very Equally Likely Somewhat Certain
Likely Likely

10. Probability of Simple Events
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) =

11. Probability of Simple Events
Example 2: Roll a dice.
What is the probability of rolling an even number?
# favorable outcomes
# 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 #) = =

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

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

14. Probability of Simple Events
Example 5: Deck of Cards.
What is the probability of picking a heart?
# favorable outcomes
# possible outcomes
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
3 out of 4 or .75 or 75%
P(heart) = = =
P(nonheart) = = =

15. Probability of Simple Events
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

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

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

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

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

20. Probability of Simple Events
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,