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A box contains three red and two blue ies. Two ies are removed with replacement. Let A be the event that both the ies are of the same color and B be...

  1. A box contains three red and two blue flies. Two flies are removed with replacement. Let A be the event that both the flies are of the same color and B be the event that at least one of the flies is red. Find (i) P(A),(ii) P(B),(iii) P(A∪B), and (iv) P(A∩B).
  2.  A couple has two children. Suppose we know the elder child is a girl. (a) Determine an appropriate sample space. (b) Find the probability that both are girls
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