Demo

1. Classify whether the event is
Dependent or Independent
1. A bag contains 6 black marbles, 9 blue marbles, 4 yellow
marbles, and 2 green marbles. A marble is randomly
selected, replaced, and a second marble is randomly
selected. Find the probability of selecting a black
marble, then a yellow marble.
Independent

2. 2. A box of chocolates contains 10 milk chocolates,
8 dark chocolates, and 6 white chocolates. Hanissa
randomly chooses a chocolate, eats it, and then
chooses another chocolate. What is the probability
that Hanissa chose a milk chocolate, and then, a
white chocolate?
Dependent

3. 3. A rental agency has 12 white cars, 8 gray cars, 6 red
cars, and 3 green cars for rent. Mr. Escobar rents a car,
returns it because the radio is broken, and gets
another car. What is the probability that Mr. Escobar is
given a green car and then a gray car?
Dependent

4. Case 1: Supposing you pick 1 strip at random,
return the strip to the box and pick 1 strip
again. What is the probability that you pick
Female and the second is Female also?
ANSWER:
1. P(A and B) =
27
50
*
27
50
=
729
2,500
Let’s have some more instances

5. Case 2: Supposing you pick 1 at random did not return
the strip to the box and pick again. What is the
probability that the first pick is Male and the second is
Male?
ANSWER:
2. P(A and B) =
23
50
*
22
49
=
506
2,450

6. Let us study further the results of our activity
1. Can you classify the events in each situation?
2. What kind of compound event is the situation
in Case 1?
3. What about in Case 2?

7. 1. How did you get the probability of the event in
the first situation or the independent event?
2. How did you get the probability of event in the
second situation or the dependent event?
3. Compare the 2 solutions can you identify the
difference between the solutions?

8. 4. Can you derive an equation or formula for
the Independent Event?
5. What about the equation or formula for the
Dependent Event?

9. GROUP ACTIVITY
1. We are going to follow or use the groupings that we have in
our previous meetings.
2.Each group will form a circle and together you will solve a
problem in sheet of Manila paper that will be given to you.
3. After you have solved the problem perform your yell as sign
that you are through, then post your work or output on the
board.
4. If 2 groups have the same answer, they will have a toss coin
to choose who will explain the solution in front.
5. Each group needs to follow the rubrics or criteria that I have
prepared to get a maximum point for the activity.

10. For Polynomial Group and Linear group
1. A jar contains 3 red, 5 green, 2 blue and 6 yellow
marbles. A marble is chosen at random from the jar. After
replacing it, a second marble is chosen. What is the
probability of choosing a green and a yellow marble?

11. ANSWER:
For Polynomial Group and Linear group
Independent Event
1. P(A and B) =
5
16
*
6
16
=
15
128

12. For Quadratic Group and Cubic Group
2. A toy box contains 11 toys, stuffed animals, and
3 board games. Maria randomly chooses 2 toys for
the child she is babysitting to play with. What is
the probability that she chose 2 stuffed animals as
the first two choices?

13. ANSWER:
For Quadratic Group and Cubic Group
Dependent Event
2. P(A and B) =
8
11
*
7
10
=
28
55

14. For Quartic Group and Quintic Group
3. A basket contains 6 apples, 5 bananas, 4 oranges,
and 5 guavas. Dominic randomly chooses one piece
of fruit, eats it, and chooses another piece of fruit.
What is the probability that he chose a banana and
then an apple?

15. ANSWER:
For Quartic Group and Quintic Group
Independent Event
3. P(A and B) =
5
20
*
6
19
=
3
38

16. Localization and Contextualization
1. Grade 10 Aquino with 27 girls and 23 boys
received an Award as the Cleanest classroom for
the school year 2018-2019 from the school
Principal Mr. Joseph Hinanay. As an incentive Sir
Joseph visits Grade 10 Aquino for raffle draw. He
prepared 3 prizes for the class. If Sir Joseph uses
the box with the names of students and he picks
3 names at a time.

17. a. What is the probability that the 3 winners are all girls?
b. What is the probability that the winners are 3 boys?
c. What is the probability that the winners are 1 boy and
2 girls?
d. What is the importance of keeping the classroom and
surroundings always clean?
e. How will you maintain the cleanliness of the room and
the surroundings?

18. 1. What is the equation for the probability of
independent event?
Answer:
P(A and B) = P(A) x P(B)

19. 2. What is the equation for the probability of
Dependent Event?
Answer:
P(A and B) = P(A) x P(B following A)

20. Solve the following problems
1. A coin purse contains 3 ten peso coins 4 five
peso coins and one peso coins. What is the
probability of picking a five-peso coin a ten-
peso coin one at a time and replacing the first
coin?

21. Answer:
1. P(A and B) =
4
10
*
3
10
=
1
5
*
3
5
=
3
25

22. 2. Don has 5 red marbles and 6 white marbles
in a box. What is the probability that Don will
pick 2 white at the same time?
3. What is the probability of showing 2 heads
when 2 coins are tossed at the same time?

23. Answer:
2. P(A and B) =
6
11
*
5
10
=
3
11
*
1
1
=
3
11
3. P(A and B) =
1
2
*
1
2
=
1
4

24. 4. What is the probability of getting 1 red nips and 1
violet nips in succession without replacing the first nips
in the bowl containing 6 red nips and 4 violet nips?
5. A teacher needs two students to help him with a
science demonstration for his class of 8 girls and 5 boys.
He randomly chooses one student, and then chooses a
second student. What is the probability that both
students chosen are girls?

25. Answer
4. P(A and B) =
6
10
*
4
9
=
2
5
*
2
3
=
4
15
5. P(A and B) =
8
13
*
7
12
=
2
13
*
7
3
=
14
39

26. ASSIGNMENT
Solve the problem on your notebook.
1. What is the probability of getting a red chip and
a blue chip in succession without replacing 6 red
chips and 4 blue chips?