In a survey conducted to examine whether there is correlation between gender and physical exercise, 700 persons were selected at random and their gender and

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In a survey conducted to examine whether there is correlation between gender and physical exercise, 700 persons were selected at random and their gender and whether they did some form of physical exercise at least twice a week or not were recorded.

The outcomes are given in the following table:

Consider the following events, associated with the experiment of selecting randomly a person among the 700 persons who took part in this survey:
A: the person selected is a man;
B: the person selected does physical exercise at least twice a week.
Based on the data from the above table, calculate the probabilities of the events A, B, AB, A′, B′, A′B′, AB′, A′B, A′B ∪ AB′, AB ∪ A′B′.

Physical exercise? Gender Yes No Male 80 300 Female 75 245