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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?
4. 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?
Probability of Simple Events
5. 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
6. 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) =
7. 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%
Probability of Simple Events
8. 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
9. 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) =
10. 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%
Probability of Simple Events
P(event) =
P(even #) = =
11. 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%
Probability of Simple Events
P(event) =
P(green) = =
12. 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%
Probability of Simple Events
P(event) =
P(tail) = =
13. 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) = = =
14. Tossing a coin
What is the probability of getting a
head in tossing a coin?
P(Head) = ½
15. 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
Probability of Simple Events
16. 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
18. 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
20. 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
Probability of Simple Events
24. What is the probability?
Look carefully at the given set, then match
column A with column B. Your answers will help you
understand the concept on the probability of an event.
27. Solve the following carefully, then
write the correct.
A fair of die is rolled. What is the
probability of getting:
1. A number less than 4?
2. A number greater than 2?
3. A number divisible by 3?
4. A n umber less than 10?
28. 5. Choosing a month from
a year, what is the
probability of selecting a
month with 31 days.
29. 6. If one letter is chosen
from the word
TRUSTWORTHY, what is
the probability that the
letter chosen is consonant.
30. . A bag contains 12 red balls, 10 green
balls, 2 yellow balls, 19 blue balls, and
9 pink balls.
7. What is the probability of pulling
out a green ball?
8. What is the probability of pulling
out a yellow ball?
31. 9. One letter of the word
“EXTRA” is selected at
random. Find the
probability that the letter
selected is a vowel.
32. The first fifteen letters of the
English alphabet are each written on
a chip and placed in a bag. If a chip
is drawn at random,
10. How many possible outcomes
are there?
11. How many elements are vowel?
33. 12. What is the probability of
drawing a vowel?
13. How many elements are
consonant?
14. What is the probability of
drawing a consonant?