Five hundred employees were selected from a city€™s large private companies and asked whether or not they have any retirement benefits provided by their companies. Based on this information, the following two-way classification table was prepared.

a. Suppose one employee is selected at random from these 500 employees. Find the following probabilities.
i. Probability of the intersection of events €œwoman€ and €œyes€
ii. Probability of the intersection of events €œno€ and €œman€
b. Mention what other joint probabilities you can calculate for this table and then find them. You may draw a tree diagram to find these probabilities.

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Have Retirement Benefits Yes 225 150 No 75 50 Men Women