# Two-way Tables and Probability

In this worksheet, students read information from a two-way table to answer probability questions.

Key stage:  KS 3

Curriculum topic:   Probability

Curriculum subtopic:   Calculate Theoretical Probability

Difficulty level:

### QUESTION 1 of 10

Two-way tables can be used to display information relating to several different options and categories.

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

Notice how the totals add up in both directions.

There are 56 right-handed children.

There are 32 right-handed girls.

The probability that a child chosen at random is a right handed girl is 32/70 = 16/35

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

How many boys are there in this year group?

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a child chosen at random is a boy?

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

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

How many girls are there in this year group?

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a pupil chosen at random is a left-handed girl?

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

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

How many right-handed children are there in this year group?

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a right-handed child chosen at random is a boy?

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

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a child chosen at random is right-handed?

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

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a boy chosen at random is right-handed?

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

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a girl chosen at random is right-handed?

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

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a right-handed child chosen at random is a girl?

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

• Question 1

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

How many boys are there in this year group?

28
EDDIE SAYS
We just need to look at the total column for the boys
• Question 2

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a child chosen at random is a boy?

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

2/5
EDDIE SAYS
There are 28 boys in total There are 70 children in total The probability a boy will be chosen is 28/70, don't forget to cancel this down
• Question 3

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

How many girls are there in this year group?

42
EDDIE SAYS
We just need to look at the total for the girls
• Question 4

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a pupil chosen at random is a left-handed girl?

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

1/7
EDDIE SAYS
There are 70 girls in total There are 10 left handed girls The probability a left handed girl will be chosen is 10/70, don't forget to cancel this down
• Question 5

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

How many right-handed children are there in this year group?

56
EDDIE SAYS
We need to look at the total for the right handed pupils
• Question 6

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a right-handed child chosen at random is a boy?

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

3/7
EDDIE SAYS
There are 56 right handed pupils There are 24 right handed boys The probability a right handed boy will be chosen is 24/56, don't forget to cancel this down
• Question 7

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a child chosen at random is right-handed?

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

4/5
EDDIE SAYS
There are 56 right handed pupils There are 70 pupils The probability a right handed pupil will be chosen is 56/70, don't forget to cancel this down
• Question 8

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a boy chosen at random is right-handed?

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

6/7
EDDIE SAYS
There are 24 right handed boys There are 28 boys in total The probability a right handed pupil will be chosen from the boys is 24/28, don't forget to cancel this down
• Question 9

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a girl chosen at random is right-handed?

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

16/21
EDDIE SAYS
There are 32 right handed girls There are 42 girls in total The probability a right handed pupil will be chosen from the girls will be 32/42, don't forget to cancel this down
• Question 10

The following table shows the numbers of right and left-handed children in a school year group of 70 children.

Boys Girls Total
Right 24 32 56
Left 4 10 14
Total 28 42 70

What is the probability that a right-handed child chosen at random is a girl?

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

4/7
EDDIE SAYS
32/56
---- OR ----

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