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14)

In the Venn diagram

*ξ*represents 31 students in a class*C*is students who have a cat*D*is students who have a dog

a) One student from the class is picked at random.

Work out the probability that the student has a dog.

Work out the probability that the student has a dog.

**[3 marks]**

b) One of the students who has a cat is picked at random.

Work out the probability that this student has a dog.

**[1 mark]**