### What is the probability that maria will be paired

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Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.

(a) What is the probability that Maria and Thomas will be paired together?

(b) What is the probability that Maria will be paired with another woman?

(c) What is the probability that Maria will be paired with another woman and Thomas will be paired with another with a man?

(d) What is the probability that both Maria and Thomas are paired with a woman?

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