 # Outcomes and Probability (3)

In this worksheet, students determine the possible outcomes of two events by using a sample-space diagram. Key stage:  KS 3

Curriculum topic:   Probability

Curriculum subtopic:   Calculate Theoretical Probability

Difficulty level:   ### QUESTION 1 of 10

When two events occur, there are several possible outcomes.

For example, when these two spinners are spun, there are 4 x 4 = 16 possible outcomes.  The two scores are added together and so we can create a Sample-Space diagram to show the possible totals.

1 2 3 4
1 2 3 4 5
2 3 4 5 6
3 4 5 6 7
4 5 6 7 8

The possible totals are 2, 3, 4, 5, 6, 7 and 8.

The probability of getting a total of 7, P(7) = 2/16 = 1/8

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

How many different totals are possible?

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

Which total is most likely to occur?

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

What is the probability of getting a total score of 5?

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

True or False?

Scoring a total of 8 is more likely than scoring a total of 2.

True

False

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

True or False?

Scoring a total of 4 is more likely than scoring a total of 7.

True

False

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

How many different totals are possible?

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

In how many different ways can the total score of 10 be achieved?

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

In how many different ways can the total score of 5 be achieved?

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

Which total score occurs the most often?

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

What is the probability of scoring a total of 6?

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

• Question 1

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

How many different totals are possible?

7
• Question 2

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

Which total is most likely to occur?

5
• Question 3

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

What is the probability of getting a total score of 5?

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

1/4
• Question 4

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

True or False?

Scoring a total of 8 is more likely than scoring a total of 2.

False
• Question 5

These two spinners are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

True or False?

Scoring a total of 4 is more likely than scoring a total of 7.

True
• Question 6

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

How many different totals are possible?

11
• Question 7

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

In how many different ways can the total score of 10 be achieved?

3
EDDIE SAYS
6+4, 5+5, 4+6
• Question 8

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

In how many different ways can the total score of 5 be achieved?

4
EDDIE SAYS
4+1, 3+2, 2+3, 1+4
• Question 9

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

Which total score occurs the most often?

7
• Question 10

These two dice are spun and the two scores are added together.  Use a sample-space diagram to answer the question.

What is the probability of scoring a total of 6?

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

5/36
---- OR ----

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