Each of $27$ tourists was asked which of the countries Angola $\left(A\right)$, Burundi $\left(B\right)$ and Cameroon $\left(C\right)$ they had visited. Of the group, $15$ had visited Angola; $8$ had visited Burundi; $12$ had visited Cameroon; $12$ 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.

Draw a fully labelled Venn diagram to illustrate this information.

Each of $27$ tourists was asked which of the countries Angola $\left(A\right)$, Burundi $\left(B\right)$ and Cameroon $\left(C\right)$ they had visited. Of the group, $15$ had visited Angola; $8$ had visited Burundi; $12$ had visited Cameroon; $12$ 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.

Find the number of tourists in set $B^{\text{'}}$ and describe them.

Each of $27$ tourists was asked which of the countries Angola $\left(A\right)$, Burundi $\left(B\right)$ and Cameroon $\left(C\right)$ they had visited. Of the group, $15$ had visited Angola; $8$ had visited Burundi; $12$ had visited Cameroon; $12$ 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.

Describe the tourists in set $(A\cup B)\cap C^{\text{'}}$ and state how many there are.

Each of $27$ tourists was asked which of the countries Angola $\left(A\right)$, Burundi $\left(B\right)$ and Cameroon $\left(C\right)$ they had visited. Of the group, $15$ had visited Angola; $8$ had visited Burundi; $12$ had visited Cameroon; $12$ 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.

Find the probability that a randomly selected tourist from this group had visited at least two of these three countries.

Two ordinary fair dice are rolled. Using a possibility diagram, find the probability of obtaining:

two $6 \mathrm{s}$

Two ordinary fair dice are rolled. Using a possibility diagram, find the probability of obtaining:

two even numbers

Two ordinary fair dice are rolled. Using a possibility diagram, find the probability of obtaining:

two numbers whose product is $6 .$

It is known that $8\%$ of all new FunX cars develop a mechanical fault within a year and that $15\%$ independently develop an electrical fault within a year. Find the probability that within a year a new FunX car develops:

both types of fault