Grade 9 Maths - GREY COLLEGE SECONDARY

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Grade 9

Maths

Basic information

Class 8 28 April 2020 - Probability Assignment



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GRADE 9 GREY COLLEGE MATHS

Background information of probability

Definitions

Probability In Grade 8 you learnt that Probability is all about calculating, estimating or predicting what might happen in the future. It is about how likely something can happen or the chance of it happening.

Experiment The experiment here involves the tossing of the one coin followed by the tossing of the other.

Trial Each tossing of the one coin followed by the other is called a trial.

Outcome An outcome is the result of a trial.

Sample space: The set of all possible outcomes is called the sample space

Event: An event is a collection of one or more outcomes of an experiment. It consists of one or more outcomes of the sample space

Probability = 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒕𝒊𝒎𝒆𝒔 𝒕𝒉𝒆 𝒆𝒗𝒆𝒏𝒕 𝒉𝒂𝒑𝒑𝒆𝒏𝒔

𝒕𝒉𝒆 𝒕𝒐𝒕𝒂𝒍 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒕𝒓𝒂𝒊𝒍𝒔

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Example 1

Example 2

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Example 3

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Example 4

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Example 5

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GRADE 9 GREY COLLEGE 2020

MATHS Class 8 28 APRIL 2020

Do the following on paper (When school reopen, hand-in to teacher)

PART 1

PROBABILITY QUESTION 1

1.1 One card is drawn from a pack of playing cards that consists of 52 cards. What is the probability that the type of card is: 1.1.1 a 7? 1.1.2 a Diamond? 1.1.3 a Queen of Hearts? 1.1.4 a red card? 1.1.5 a Black King? 1.2 The word Probability in German is WAHRSCHEINLICHKEIT. If a letter is drawn from

the word, determine the probability of drawing:

1.2.1 the letter W.

1.2.2 a vowel.

1.2.3 the letter H or C.

QUESTION 2

2.1 The Tuckshop has a special that includes a main meal, a cool drink and a desert. A Client

can take any of the following options:

Main meal: Hamburger or Tuna salad

Cool drink: Coke or orange juice

Desert: Ice cream with chocolate sauce or fruit salad.

2.1.1 Draw a tree diagram to illustrate all possible outcomes.

2.1.2 What is the total number of outcomes?

2.2 What is the probability that Tlotlo, a grade 9-learner, will choose the following:

2.2.1 a Tuna salad and a Coke?

2.2.2 a Hamburger, Coke and ice cream with chocolate sauce?

2.2.3 a Fruit salad?

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PART 2 QUESTION 3

3.1. A spin wheel, numbered 1-8, is turned and a coin, with a head and a tail, is tossed.

3.1.1 Draw a two-way table to indicate all the outcomes. 3.1.2 Calculate the probability to get the following: a) a head b) an odd number c) a tail and a number greater than 3 d) a head and a prime number

QUESTION 4

4. This diagram shows the number of learners who play different sports: Hockey (H), soccer (S) and rugby (R). a) How many learners are there all together?

b) How many learners play all three sports?

c) How many learners play rugby and soccer, but not hockey?

d) Find the probability of choosing a learner who plays soccer only.

S

16 2 3

1

R

8

H

0

6

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Do the following on paper (When school reopen, hand-in to teacher)

PART 3 QUESTION 5

5.1 Decrease 2𝑐 + 3𝑏 − 6𝑎 with 2𝑏 − 4𝑎 + 9𝑐

5.2 Simplify the following:

5.2.1 (2𝑎 − 3𝑦)(𝑎 + 5𝑦) 5.2.2 −3(𝑎2 − 4)2 5.2.3 2(𝑥 + 3)2 + (𝑥 − 4)(−3)

QUESTION 6 Solve for 𝑥: 6.1. 3(2𝑥 + 3) = 4𝑥 + 3 6.2. 3(𝑥 − 4) = 6(𝑥 − 1) − 5(𝑥 − 2)

6.3. 12𝑥−15

8−

15𝑥−20

12=

1

6

6.4 𝑥+2

2−

𝑥−3

3= 6

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QUESTION 7

7.1 The sum of two numbers is −1 123. The one number is 769, calculate the other

number. (Show all calculations)

7.2 The product of two numbers is 14 800. The one number is 240, calculate the other

number. (Show all calculations)

7.3 Write the following scientific notation as decimal numbers:

0,04102 × 108

7.4 Write the following number in scientific notation:

924 367 000 𝑘𝑚

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Grade 9 Maths - GREY COLLEGE SECONDARY