Two hundred single sport athletes were cross-classified

Two hundred single sport athletes were cross-classified according to gender as follows:

An athlete is selected at random.

What is the probability that the athlete is a fencer?
What is the probability that the athlete is a female fencer?
If the athlete is known to be a fencer, what is the probability that the athlete is female?
What is the probability that the athlete is male or a swimmer or both?
Are the events being a female and being a swimmer mutually exclusive? Justify your answer.
Are the events being a female and being a fencer independent? Justify your answer.

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Two hundred single sport athletes were cross-classified : two hundred single sport athletes were cross-classified according to gender as

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