Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space...

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Combined Events Sample Space Diagrams

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1)What is the probability of getting a total more than 5? 2)What is the probability of getting a total less than 10? 3)What is the probability of getting a total that is a square number? 4)What is the probability of getting an even total? 5)What is the probability of getting an odd total? 6)What is the probability of getting a total less than 13? Sample space diagrams Second die First die

Transcript of Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space...

Page 1: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

Combined EventsSample Space Diagrams

Page 2: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

96

5

4

83

2

31

654321+

Second die

Firs

t die

Sample space diagramsThis table is another way of displaying all the outcomes from throwing two dice and adding them together. It is called a sample space diagram.

Fill in the rest of the cells in the table.

Colour in all the twos one colour, the threes another colour etc.

What patterns do you notice in the table?

Page 3: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

1) What is the probability of getting a total more than 5?

2) What is the probability of getting a total less than 10?

3) What is the probability of getting a total that is a square number?

4) What is the probability of getting an even total?

5) What is the probability of getting an odd total?

6) What is the probability of getting a total less than 13?

Sample space diagrams

1211109876

111098765

10987654

9876543

8765432

7654321

654321+

Second die

Firs

t die

121110987

11109876

1098765

987654

876543

765432

Page 4: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

A coin and a ten-sided die are thrown and the outcomes recorded in the two-way table below.

+ 1 2 3 4 5 6 7 8 9 10

H 2,H 7,H

T 8,T

Dice

Coin

Combined events with coins and dice

Complete the table to show all the possible outcomes.

Page 5: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

1) How many outcomes are there?2) What is the probability of getting a head and an even number?3) What is the probability of getting a tail and a square number?

Combined events

+ 1 2 3 4 5 6 7 8 9 10

H 1,H 2,H 3,H 4,H 5,H 6,H 7,H 8,H 9,H 10,H

T 1,T 2,T 3,T 4,T 5,T 6,T 7,T 8,T 9,T 10,T

Die

Coin

Page 6: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

Two four-sided dice are thrown and the numbers added together.

What is the probability of getting:1) a total more than 4?2) a total less than 8?3) a prime number total?4) a total that is at least 3? 5) a total of 4 or 5?6) the same number on both dice?7) a lower number on the first dice?

87654

76543

65432

54321

4321+

Second die

Firs

t die

Other combined events

Construct a sample space diagram to show all the outcomes.

Page 7: Combined Events Sample Space Diagrams. 96 5 4 83 2 31 654321+ Second die First die Sample space diagrams This table is another way of displaying all the.

Calculating the number of outcomes


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