Problem 4. There are 1000 students in the year level and they have to participate in a certain activity. They can choose from singing, dancing, and acting skills. The X is the number that the students either choose none, one activity, two activities, or all the activities. a. Find the probability that none of the said activities were chosen if there are 2 students who did not participate. b. Find the probability if there are 458 students who participated in at least 1 activity. c. Find the probability if there are 329 students who participated in two activities d. Find the probability if there are 211 students who participated in all the activities.

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