Question 3 A golden coin is hidden at the QMUL campus and Rihanna and Justin are on a treasure hunt looking for it. Suppose that the coin may be in the ITL, the Great Hall or Mason LT and has a U3 chance of being in each of these locations. Rihanna searches only in the ITL; if the coin is there, she has a 1/2 chance of finding its Justin searches only in the Great Hall; if the coin is there, he has a l/4 chance of nding it. Work out all your answers as simplied fractions. a) Calculate the probability that the coin is found. b) Suppose that the coin is found. Calculate the conditional probability that it is found by Justin c) Suppose that the coin is not found. Calculate the conditional probability that it is at Mason LT. [9 Marks]