Everything Maths Grade 10

14 Probability We use probability to describe uncertain events. When you accidentally drop a slice of bread, you don’t know if i ...

Experiment 3:Two teams play a soccer match and we are interested in the final score. An example outcome of a soccer match: DEFIN ...

Experiment 3:Each soccer team can get an integer score from 0 upwards. Usually we don’t expect a score to go much higher than 5 ...

1.As a real number between 0 and 1. For example 0,75. 2.As a percentage. For example 0,75 can be written as 75%. 3.As a fraction ...

equally likely. For example, we know that a soccer score of 1–1 is quite common, while a score of 11–15 is very, very rare. Beca ...

14.2 Relative frequency EMA7X DEFINITION: Relative frequency The relative frequency of an event is defined as the number of time ...

t 1 2 3 4 5 6 7 8 9 10 f 1,00 0,50 0,33 0,25 0,40 0,33 0,43 0,50 0,56 0,50 t 11 12 13 14 15 16 17 18 19 20 f 0,55 0,50 0,46 0,50 ...

SOLUTION Step 1: In this experiment, each trial takes the form of Team 1 playing a soccer match against Team 2. Step 2: Count th ...

14.3 Venn diagrams EMA7Y A Venn diagram is a graphical way of representing the relationships between sets. In each Venn diagram ...

Worked example 5: Venn diagrams QUESTION Consider the set of diamonds removed from a deck of cards. A random card is selected fr ...

They are asked to identify the event set ofB. They get stuck, and you offer to help them find it. Which of the following sets be ...

a)Draw a Venn diagram to illustrate all this information. b)How many learners take Maths and Geography but not History? c)How ma ...

Exercise 14 – 4: 1.A group of learners are given the following Venn diagram: 4 3 15 10 14 9 8 2 13 12 5 1 11 7 6 A B A\B S The s ...

14.5 Probability identities EMA82 By definition, the sample space contains all possible outcomes of an experiment. So we know th ...

P(A) = n(A) n(S) = 5 36 P(B) = n(B) n(S) = 11 36 P(A\B) = n(A\B) n(S) = 2 36 P(A[B) = n(A[B) n(S) = 14 36 Step 2: Write down and ...

14.6 Mutually exclusive events EMA83 DEFINITION: Mutually exclusive events Two events are called mutually exclusive if they cann ...

Exercise 14 – 6: State whether the following events are mutually exclusive or not. 1.A fridge contains orange juice, apple juice ...

SOLUTION Step 1: Summarise the sizes of the sample space, the event sets, their union and their intersection We are told that 7 ...

2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 A B (A[B)′ A\B S The sample space can be described asfn:n εZ; 1 n 15 g. They are asked to ...

10 4 3 15 14 8 9 13 2 12 11 5 1 7 6 A B (A[B)′ A\B S The sample space can be described asfn:n εZ; 1 n 15 g. Are(A[B)′andA[Bmut ...