Quarter 4 Week 8

Quantifies the phrases “most likely to happen” and “unlikely to happen”.

M6SP-IVh-20

What is a probability?

One sunny day. The sisters Hanna and Charmagne were playing happily outside. Hanna asked her sister about the probability that it would rain. How should Charmagne answer her sister’s question?

Event (A) is most likely to happen. We can say the chance of event (A) is high.

Event (B) is unlikely to happen. We can say the chance of event (B) is low.

Rain is unlikely tonight.

The probability of rain tomorrow is 50%. (1/2)

Rain is uncertain tom0orrow, that is, it may or may not rain tomorrow.

The probability of rain tomorrow is 90%. (9/10)

Rain is likely to come tomorrow night.

You notice that 90% is closer to 100%, that is rain is likely to happen.

Study some examples on page 335 of textbook, under Example 1.

Work by Pair:

Solve:

1. It was observed in EDSA that 28 cars, 25 buses and 17 trucks passed a certain point on the road per hour. What is the probability that:

a. the next vehicle to pass the street is a car? ____

b. the next vehicle to pass the street is a bus? ____

c. the next is not a car?____

Pair Share:

Two dice marked 1-6 are rolled. Compute for the probability that the result will be a sum of 6.

Out of 40 pupils of Section Jade of Narra Pilot School, 75% of the pupils are passing the exam. What is the probability of pupils failing the exam? How many are failing?

How do you quantify phrases “most likely to happen” and “unlikely to happen”?

Solve:

In one bookstore, a saleslady sold 125 notebooks, 150 pencils, and 120 pad papers. Compute for the probability that she will sell a pencil, and the probability that the next item she will sell is not a pencil. ______,_______.

Quarter 4 Week 8 Day 2

Quantifies the phrases “most likely to happen” and “unlikely to happen”.

M6SP-IVh-20

What is your observation of the weather today? Why do you say so?

Show 2 dice to the pupils. Ask, What is the probability that two dice marked 1-6 are rolled, the result will be two 4s?

Let them discover the results of rolling two dice.

Use a numbers below to find the number of possible outcome for each event.

five

one

two

three

four

six

seven

eight

ten

nine

1. Pick a number whose name has 4 letters.

2. Pick a number whose name has 5 letters.

3. Pick a number whose value equals the number of letters in its name.

Directions: Which of the following situations can be considered as unlikely to happen, likely to happen, equally likely to happen, impossible to happen, or certain to happen? Write your answer on the blank before each number.

______ 1. When one is lying down, he is sleeping.

______ 2. When the clouds are dark, it will rain.

______ 3. If you eat plenty of food, you are healthy.

______ 4. A butterfly can fly.

______ 5. All mountains have forest.

Pair Share:

Toni makes a guess which day on September is Alex’s birthday. Toni knows that Alex’s birthday does not fall on an odd numbered day. What is the probability that Toni will guess the correct day on her first try?

Use the information from the spinner to solve the problems. Use certain, likely, equally likely somewhat likely, or impossible for your answer.

1^st 2^nd 3^rd

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Spinner spinner spinner

1. What is the chance of landing on an odd number on 2^nd spinner?

2.What is the probability of landing on an odd on the 3^rd spinner?

3. Is it like, unlikely or equally likely to land on an even number on the first spin?

4. Lara added a 3 and 9 to the 3^rd spinner. What is the probability now of landing on an odd number?

5. Luis removed 1,3 and 11 from the 1^st spinner. What is the probability now of landing on an even number?

Probability is a measure of the likelihood that a certain event will occur. It can be expressed as a number from 0 to 1.

Solve:

A catalog store has 6% of its orders returned for a refund. The owner predicts that a new candle will have 812 returns out of the 16,824 sold. Do you agree with this prediction? Explain.

Quarter 4 Week 8 Day 3

Performs experiments and records outcomes

M6SP-IVh-21

What is the probability of an impossible event?

Rolling a die, what is the probability that 7 come out?

It is zero (0) because there’s no side with a number 7.

If you toss two dice at the same time there will be 36 possible outcomes on the top faces of the two dice.

1. Complete the table and answer the questions that follow.

2. How many of the outcomes in the table add up to an odd number?___

3. What is the probability of getting both odd numbers on the top faces? _____

4. What is the probability of getting 1. ______

5. What is the probability of getting 12?____

Directions: Study the illustration below then answer the following questions that follow.

JAR WITH MARBLES

1. What is the probability of picking a yellow marble?

2. What is the probability of picking a red marble?

3. What is the probability of picking a blue marble?

4. What is the probability of picking a yellow and red marble?

5. What is the probability of picking a blue and red marble?

6. What is the probability of picking a yellow and blue marble?

Group Activity: Perform the activity and record the result.

The numbers 1,2,3,4,5 and 6 are shown as dots on the six faces of a die. If two dice are rolled, find the probabilities.

Example: What is the probability of getting the sum of 6?

Solution:

P(6)= (1,5),(5,1),(4,2),(2,4),(3,3) =5

1. P (sum of 4) ____

2. P (sum of 7) ____

3. P (sum of 2) ____

4. P (sum of 5) ____

5. P (sum of 9) ____

6. P (sum of 12) ___

7. P (sum of 13) ___

8. P (sum of 3) ____

9. P (sum of 10) ___

10. P (sum of 1) ___

A basket contains 5 chicos, 3 atis, 4 mangoes and 6 avocados. If only one fruit, is drawn from the basket, find the probability of the following;

1. P (chicos) ___

2. P (atis) ____

3. P (not mangoes) ___

4. P (chicos or mangoes) __

5. P (mangoes) ____

How will you perform the experimental probability?

Do we need to record the outcomes?

Directions: Study the illustration below then answer the following questions that follow.

THE CHIPS ARE PLACED IN A JAR AND MIXED

1. What is the probability of picking a chip with an even number?

2. What is the probability of picking a chip with an odd number?

3. What is the probability of picking a chip with the biggest number?

4. What is the probability of picking a chip with the smallest number?

5. What is the probability of picking a chip with a prime number?

Quarter 4 Week 8 Day 4

Performs experiments and records outcomes

M6SP-IVh-21

Rolling a die, what is the probability that 9 come out?

What is your answer? Why do you say so?

Can you cite other instances and make a prediction?

Activity 1:

You select a marble without looking and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a marble that is not blue?

Activity 2:

You select a marble without looking and then put it back. If you do this 9 times, what is the best prediction possible for the number of times you will pick a marble that is not brown?

Group Activity: Perform the activity and record the result.

You want to find the probability of getting a “head”. You tossed a fair coin 20 times and record the result on the table.

a. What is the theoretical probability of getting a “head”?

b. What is the experimental probability of getting a “head”?

How will you perform the experimental probability?

Do we need to record the outcomes?

Roll a die 5 times then record the result on the sheet.

Quarter 4 Week 8 Day 5

Weekly Test

Thank You!