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Mary and John toss a coin three times

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Mary Tosses a coin 3 times and john does the same.

A) Find probability Mary obtains one head. I have that answer which i think is 1/33 or 33%, but do I include John's tosses also in that?

b) Find the probability that Mary obtains exactly one head and so does John. Here I thought to do 1/2 times 1/2 = 1/4 is that right?

c) Find the joint probability that each of them obtain exactly 2 heads.

d) Find the joint probability that each of them obtain exactly 3 heads.

(e) Find the joint probability that each of them obtains no heads.

Find the probability that they obtain the same number of heads by using parts b, c, d and e.

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Mary tosses a coin 3 times and john does the same.

A) find probability Mary obtains one head. I have that answer which i think is 1/33 or 33%, but do I include John's tosses also in that?
b)find the probability that Mary obtains exactly one head and so does John. Here I thought to do 1/2 times 1/2 = 1/4 is that right?
c) find the joint probability that each of them obtain exactly 2 heads.
d) ...

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