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Q1) Mary tosses coin three times and then John does the same.

a) Determine the probability that Mary obtains exactly one Head.

b) Determine the joint probability that Mary gets exactly one Head and so does John. (This means determine the probability that Mary gets exactly one Head and John gets exactly one Head. Also, we are suppose that Mary’s tosses are completely independent from John’s.)

c) Determine the joint probability that each of them gets exactly two Heads.

d) Determine the joint probability that each of them gets exactly three Heads.

e) Determine the joint probability that each of them gets no Heads

f) Determine the probability that they obtain the same number of Heads by using parts b., c., d. and e.

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