Each of 27 tourists was asked which of the countries Angola (A), Burundi (B) and Cameroon (C) they had visited. Of the group, 15 had visited Angola, 8 had visited Burundi, 12 had visited Cameroon, 2 had visited all three countries, and 21 had visited only one. Of those who had visited Angola, 4 had visited only one other country. Of those who had not visited Angola, 5 had visited Burundi only. All of the tourists had visited at least one of these countries. (a) Draw a fully labelled Venn diagram to illustrate this information. (b) Find the number of tourists in set Bc and describe them. (c) Describe the tourists in set (A N B) UC c and state how many there are. (d) Find the probability that a randomly selected tourist from this group had visited at least two of these three countries.

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Each of 27 tourists was asked which of the countries Angola (A), Burundi (B) and
Cameroon (C) they had visited. Of the group, 15 had visited Angola, 8 had visited
Burundi, 12 had visited Cameroon, 2 had visited all three countries, and 21 had visited
only one. Of those who had visited Angola, 4 had visited only one other country. Of
those who had not visited Angola, 5 had visited Burundi only. All of the tourists had
visited at least one of these countries.
(a) Draw a fully labelled Venn diagram to illustrate this information.
(b) Find the number of tourists in set Bc and describe them.
(C) Describe the tourists in set (A N B) UC
c and state how many there are.
(d) Find the probability that a randomly selected tourist from this group had visited
at least two of these three countries.
Transcribed Image Text:Each of 27 tourists was asked which of the countries Angola (A), Burundi (B) and Cameroon (C) they had visited. Of the group, 15 had visited Angola, 8 had visited Burundi, 12 had visited Cameroon, 2 had visited all three countries, and 21 had visited only one. Of those who had visited Angola, 4 had visited only one other country. Of those who had not visited Angola, 5 had visited Burundi only. All of the tourists had visited at least one of these countries. (a) Draw a fully labelled Venn diagram to illustrate this information. (b) Find the number of tourists in set Bc and describe them. (C) Describe the tourists in set (A N B) UC c and state how many there are. (d) Find the probability that a randomly selected tourist from this group had visited at least two of these three countries.
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