Two-way tables - York High School, York



Two-way tables.

1. Debbie counts the videos and DVDs she has and places them into categories.

| |Videos |DVDs |TOTAL |

|Film |43 |16 | |

|Comedy | |5 |17 |

|Sport |21 | | |

|TOTAL | |24 |100 |

a) Complete the table above.

One of the items is chosen. Calculate the probability of choosing

b) a DVD.

c) a comedy on video.

A DVD is chosen. Calculate the probability of

d) it being sport.

e) it not being comedy.

2. Jamie investigated hair and eye colour.

| |Fair hair |Dark hair |TOTAL |

|Blue eyes |8 | |13 |

|Other | |10 | |

|TOTAL |15 |15 | |

a) Complete the table above.

One of the people is chosen. Calculate the probability of choosing

b) someone with blue eyes.

c) someone with fair hair and blue eyes.

A person with dark hair is chosen. Calculate the probability of

d) them having blue eyes.

e) them not having blue eyes.

3. A travel agent recorded the bookings made on one Saturday.

| |France |Spain |Germany |TOTAL |

|Car/Ferry |15 |8 | |28 |

|Plane | | | | |

|TOTAL |18 |14 | |40 |

a) Complete the table above.

One of the bookings is chosen. Calculate the probability of choosing

b) a booking for Germany.

A plane booking is chosen. Calculate the probability of

c) it being to France.

4. Carol records some cars that pass by her house.

| |Volvo |Renault |Ford |TOTAL |

|Grey | |9 |14 |31 |

|Red |4 |11 | |23 |

|Blue | | | | |

|TOTAL |12 | |25 |60 |

a) Complete the table above.

One of the cars is chosen. Calculate the probability of choosing

b) a red car.

c) a grey Volvo.

A Ford is chosen. Calculate the probability of

d) it being blue.

5. An electrical store records the following information.

| |Under 21 |21 -45 |Over 45 |TOTAL |

|Satellite |48 | |19 |90 |

|Terrestrial |28 | | |60 |

|Cable | | |86 | |

|TOTAL |97 | |116 |300 |

a) Complete the table above.

One of the records is chosen. Calculate the probability of choosing

b) someone under 21 with cable.

An over 45 person is chosen. Calculate the probability of

c) them not having cable.

6. Some children where asked about their holidays.

| |Villa |Hotel |Caravan |Tent |TOTAL |

|Europe |3 |2 | |7 |22 |

|America | |5 | | | |

|Japan |5 | | |0 |11 |

|TOTAL |12 |13 | |10 |50 |

a) Complete the table above.

One of the children is chosen. Calculate the probability of choosing

b) a child who stayed in a hotel.

A child who went to America is chosen. Calculate the probability of

c) that they stayed in a tent.

d) that they did not stay in a villa.

7. The table shows the number of girls of boys who can swim.

| |Boys |Girls |TOTAL |

|Can swim |175 |114 | |

|Can’t swim |389 |216 | |

|TOTAL | | | |

8. In a survey, people were asked which TV station they preferred.

| |BBC1 |ITV |SKY1 | |

|Male |275 |452 | |700 |

|Female |195 |216 |374 | |

|TOTAL | | | | |

9. a) Design a two way table to show the number of boys and girls with dark or fair hair.

b) Complete the table for your class.

10. a) Design a two way table to show the make and colour of these cars.

Ford – Blue Ford – Red Rover – Silver

Vauxhall – Red VW – Blue Rover – White

Vauxhall – White Ford – Green VW – Silver

Ford – Blue Nissan – White VW – Blue

Ford – Red Ford – Green Ford – Silver

b) complete the table for these cars.

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