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(a) State what it means for two events A and B to be “mutually exclusive”. (b)...

  1. (a) State what it means for two events A and B to be “mutually exclusive”.

  2. (b) Ian believes that the probability he will get a Credit in Statistics is 0.7, and the probability he will get a Credit in Accounting is 0.5. These events are independent. What is the probability that Ian will get a Credit in at least one of these two subjects?

  3. (c) Out of all the applicants for a particular job: half are female and half are male. One quarter of the applicants are under 60 years of age, and they are all female. An applicant is chosen at random.

    1. (i) What is the probability that they are over 60 and female?

    2. (ii) Given that they are over 60, what is the probability that they are female?

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