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Whiteboardmaths.com © 2004 All rights reserved

Two-Way Tables Two-way tables are useful for displaying data in a clear and concise form. The information given above becomes much clearer if it is placed in a two-way table. FranceHollandElsewhereTotal June July August Total In a survey on the popularity of visiting France and Holland, a sample of 100 Danish adults were asked for their holiday destinations last summer. In June 6 people went to France, 18 went to Holland and 5 went elsewhere. In July 10 people went to France, 19 went to Holland and 2 went elsewhere. In August 15 people went to France, 15 people went to Holland and 10 went elsewhere.

Completing 1 FranceHollandElsewhereTotal June July August Total Use the information in the table to answer the following: 1. How many people visited Holland in July? 2. How many people visited France in August? 3. How many people went on holiday in June? 4. How many people went to Holland? 5. How many people did not visit France or Holland?

Completing 2 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male8720 Female1228 Total

Completing 3 Some college students were asked to choose which of the three subjects, English, maths or science they enjoyed most. Complete the two-table below. EnglishMathsSciTotal Girls Boys15 Total

Probability 1 FranceHollandElsewhereTotal June July August Total You can use two-way tables to help solve probability problems: 1. Went to Holland on holiday? 2. Went on holiday in July? 3. Went to France in August? 4. Did not visit either France or Holland? 5. Went on holiday in June? 52/100 31/100 15/100 17/100 29/100 What is the probability that a person selected at random:

Probability 2 BBC 1ITVCH 4Total Male8720 Female1228 Total Preferred BBC 1? 2. Preferred channel 4? 3. Was a male? 4. Was a female? 5. Was a male who preferred ITV? 20/80 27/80 20/80 60/80 5/80 What is the probability that a person selected at random: 80 people were asked which one of three TV Channels they preferred to watch. The results are given in the two-way table below.

Probability 3 Some college students were asked to choose which of the three subjects, English, maths or science they enjoyed most. The information is displayed in the two-way table below. EnglishMathsSciTotal Girls Boys15 Total Chose science as their favourite subject? 2. Chose English as their favourite subject? 3. Was a boy? 4. Was a girl whose favourite subject was English? 5. Was a boy whose favourite subject was maths? 40/106 38/106 56/106 20/106 15/106 What is the probability that a person selected at random:

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