Favorite Sports
Football
15%
Badminton
20%
Volleyball
25%
Basketball
40%
1. List the most favorite sport to least favorite.
2. What fraction of the total votes went to
badminton?
Answer:
1. 40, 25, 20, 15
2. 20/100 or 1/5
total votes went to
badminton
Solve the problem:
1. Miss Aquino teaches a
Mathematics class for 60 minutes.
Make a pie graph to show the given
data.
Discussion 11%
New topic 33%
Guided practice 50%
Review 6%
Review
6%
Guided practice
50%
Discussion
11%
New topic
33%
2. In a city of 1 500 000 people, the data
shows the number of hours people sleep
in a day.
7 hours = 28%
Less than 7 hours = 22%
8 hours = 38%
9 hours or more = 12%
How many would you expect to get
a. Less than 7 hours of sleep per day
b. 7 hours of sleep per day
c. 8 hours of sleep per day
d. 9 or more hours of sleep per day
1 500 000 People Sleep in a Day
9
hours
or
more
12%
7 hours
28%
8 hours
38%
Less than 7
hours
22%
How many would you expect to get:
a. Less than 7 hours of sleep per day
b. 7 hours of sleep per day
c. 8 hours of sleep per day
d. 9 or more hours of sleep per day
Answer:
a. 22% of 1 500 000 = 330,000 people sleep a day
in less than 7 hours
b. 28% of 1 500 000 = 420,000 people sleep a day
in 7 hours
c. 38% of 1 500 000 = 570,000 people sleep a day
in 8 hours
d. 12% of 1 500 000 = 180,000 people sleep a day
in 9 or more hours
Let’s have a play
Divide the pupils into four groups.
The title of the game "Play Coin".
Each pupil will take turns in
flipping the coin. The pupil will
record the time they got a head and
the time they got a tail. Each pupil
will be given two chances to flip the
coin. After that they will tell the
class the result of their findings.
How would you describe probability?
Probability - is the likelihood that an
event will happen. The closer the
probability of an event to 1, the more
likely or the higher the chances of an
event will happen. The closer the
probability of an event to 0, the more
unlikely or impossible the event will
happen. If the probability of an event is
1/2, it is equally likely (50-50 chance) of
an event to occur or happen.
Number line Shows the Probability of an Event
Unlikely
likely
0
½
1
Impossible
50%
Certain
1:2
Problem:
In a box are 1 yellow, 2 blue, and 3 green cards. If i draw
a card from the box without looking, what is the
likelihood that i will get a yellow card, a blue card, or
a green card?
1. How many cards in the box in all?
2. How many yellow, blue and green cards in the box?
Answer:
1. 6 cards
2. 1 yellow, 2 blue, and 3 green cards
What is the probability of picking a yellow
card?
There is 1 yellow card and there
are 6 cards in all, so the
probability of getting yellow
card is 1 is to 6 and can be
expressed as a fraction, a
decimal, or a percent. Thus, the
probability of 1:6 is also 1/6, 0.17
or 17%.
What is the probability of picking
blue cards?
There are 2 blue cards and
there are 6 cards in all, so
the probability of getting
blue cards is 2 is to 6
which is equal to 2/6, 0.33
or 33%.
What is the probability of picking
green cards?
There are 3 green cards
and there are 6 cards in
all, so the probability of
getting green cards is 3 is
to 6 which is equal to 3/6,
0.5, or 50%.
What is the probability of picking
a red card?
There is no red card in a
box thus, the probability
of getting red card is 0.
Zero probability means
that the event is
impossible to happen.
Note:
From the example above, we can express the
probability of an event as:
Number of favorable outcomes
Total number of possible outcomes
Favorable outcome - is the result we want to happen in
the event.
Total number of possible outcome - is the total
number of cards in the above example.
There are 4 strawberry-flavored candies and 5
cherry-flavored candies in a jar. If Kristine picks
first and Randy picks next, what is the probability
of picking a strawberry-flavored candy? What is
the probability of picking a cherry-flavored
candy?
Ask the following:
How many candies flavored strawberry in a jar?
Answer: ( 4/9)
How many candies flavored cherry in a jar?
Answer: (5/9)
How many candies are there in all in a jar?
Answer: ( 9 - total number of candies in a jar)
On the first ( by Kristine) the probabilities
are:
4/9 - a strawberry-flavored candy is picked.
5/9 - a cherry-flavored candy is picked.
4/9 is less than 1/2, so picking a strawberry
flavored candy is considered an unlikely
probability. Kristine is unlikely to pick a
strawberry-flavored candy.
5/9 - is more than 1/2, so picking a is
considered
a likely probability. Kristine likely to pick a
cherry-flavored candy.
 Considering picking a cherry-flavored candy as
the more likely event, Kristine would have
picked a cherry-flavored candy, and the
following would be the candies in the jar as
Randy makes his first pick.
 4 candies - strawberry-flavored
 4 candies - cherry-flavored
 8 candies - total number of candies
 4/8 is equal to 1/2, so picking either a
strawberry-flavored candy or cherry-flavored
candy is a "50-50" chance of an event to happen.
Work in pairs
Alphabet cards of the same size and shape were put in a
bag. 3 cards have letter M, 4 cards have letter A, 2
cards have letter T, and 1 card has letter H.
1. What is the total number of Possible outcomes?_____
2. What is the probability in picking a:
a. Card with letter M __________
b. Card with letter A __________
c. Card with letter T __________
d. Card with letter H __________
e. Card with a vowel __________
f. Card with a consonant __________
g. Card with letter J __________
Note: There is no letter J card.
Answer:
1. 10
a. (3/10) - less than 1/2 - unlikely to happen
b. (4/10) - less than 1/2 - unlikely to happen
c. (2/10) - less than 1/2 - unlikely to happen
d. (1/10) - less than 1/2 - unlikely to happen
e. (4/10) - less than 1/2 - unlikely to happen
f. (6/10) - more than 1/2 - likely to happen
g. ( 0/10) - impossible to happen
B. Tell whether each probability of the event
happening is likely or unlikely to happen. Write L if it is
likely to happen and U if unlikely to happen on the
space before each number.
___ 1. 2:3
___ 2. 4:15
___ 3. 3/10
___ 4. 13/21
___ 5. 6/16
___ 6. 8:11 ___ 11. 6:13
___ 7. 9:20 ___ 12. 4:9
___ 8. 11:25 ___ 13. 2:5
___ 9. 5/16 ___ 14. 19/45
___ 10. 7/12 ___ 15. 12/25
Answer:
1. L 6. L
2. U 7. U
3. U 8. U
4. L 9. U
5. U 10. L
11. U
12. U
13. U
14. U
15. U
Individual Activity
Problem:
Randy, Manny, and Jan put 3 green marbles, 4
blue marbles, 5 red marbles in the box respectively.
They will take turns in getting a marble from the
box. They are trying to test the probability of
getting their favorite color of marble. They will not
put back the marble they picked in the box. Randy
will be the first to pick a marble, followed by Manny,
and the last is Jan.
1. What is the probability of getting each boy's
favorite color?
a. Randy
__________
b. Manny __________
c. Jan
__________
2. If you are next to Jan to pick a marble and your
favorite color is red, what is the probability of
getting your favorite color?
3. Who is the most unlikely to get his favorite
color?
Answer:
1.
a. 3/12 - less than 1/2 - unlikely to happen
b. 4/12 - less than 1/2 - unlikely to happen
c. 5/12 - less than 1/2 - unlikely to happen
2. 0 - impossible to happen
3. Randy is the most unlikely to get his favorite
color.
How do you describe the
meaning of probability?
What is favorable
outcome?
What is total number of
possible outcome?
Answer the following questions:
1. Which is likely to happen, an event with a
probability of 4/5 or 5/8?
2. Which is unlikely to happen, an event with a
probability of 3/8 or 3/5?
3. Which is more likely to happen, an event
with a probability of 4/5 or 4/7?
4. Which is more unlikely to happen, an event
with a probability of 0.3 or 0.09?
5. Which is most likely to happen, an event
with a probability of 2/3, 4/5, or 5/6?
Answer:
1. an event with a probability of 4/5
2. an event with a probability of 3/8
3. an event with a probability of 4/5
4. an event with a probability of 0.09
5. an event with a probability of 5/6