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Mathematics

More geometry, data handling and probability

Educator section

Memorandum

20.3 (a) (i) a half (one out of 2)

(ii) a half (one out of 2)

(c) one quarter (one out of 6)

(d) 2 out of 21

20.4 (a) one sixth (one out of six)

20.5 six out of 36 (one sixth)

22. ALL THE MATHS IS DONE!

MODULE TEST 9

1. Check learner’s effort.

2. glide

3. (a) Only a part of the group was questioned to get information

.

(b) About the possibility that something might happen.

4. (a) 10

(b) 10

(c) 10,6

5. (a) picture graph / pictogram

(b) Learners are six years and older in grade 1. / Nobody is younger than six years.

(c) 110

(d) 30

(e) 680

6.

7.4 4 out of 32 (one eigth).

Learners section

Content

Activity: probability [lo 5.10, lo 5.9]

20. PROBABILITY

20.1 Class discussion

a) What chance do you have of passing Grade 7?

b) What is the chance that it will rain today?

c) What chance does your team (any sport) have of winning the next match?

d) What is your chance of winning the Lotto?

e) What is the chance that one day you will walk on the moon?

20.2.1 Did you know?

In the above cases, you have actually estimated the possibility that something will or will not happen.

20.2.2 Did you also know?

Probability stretches from “no chance” that something will happen to “it will definitely happen”.

A probability of 0 means that the happening will never occur.

A probability of 1 means that the happening will definitely occur.

20.2.3 IMPORTANT to KNOW:

The probability that something will happen depends on:

The number of times it can happen

Total number of possibilities

The closer you answer is to 1, the more likely it is

that the event/happening will take place.

20.3 Work with a friend and answer the following questions:

a) You throw a coin up into the air. What is the probability that it will fall:

i) heads up? ________________________

ii) tails up? _________________________

b) Throw a coin into the air 50 times. Your friend can help you keep record which side of the coin faced upwards each time it landed.

i) Complete the table:

Heads Tails
Probability
Heads Tails
E.g. 4 6 4 10 size 12{ { { size 8{4} } over { size 8{"10"} } } } {} 6 10 size 12{ { { size 8{6} } over { size 8{"10"} } } } {} First 10 throws: ............. ............. ............. ............. Second 10 throws: ............. ............. ............. ............. Third 10 throws: ............. ............. ............. ............. Fourth 10 throws: ............. ............. ............. ............. Fifth 10 throws: ............. ............. ............. .............

ii) What is the average for your throws for:

a) heads: _______________________

a) tails: ________________________

c) What is the probability that both coins will land heads up if you throw them up at the same time?

_____________________________________________________________________

d) A person participating in the Lotto game must take a blue ball out of the container in order to win a prize. If there are 19 pink balls and 2 blue balls in the container, what is the probability that the contestant will win a prize?

_____________________________________________________________________

20.4 Work on your own. You will need a di.

a) What is the probability that the 3 will fall on top when you throw the dice? _____________________________________________________________________

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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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