1. An aesthetic club has 100 members. Out of them 40 do dancing, 45 do music and 24 do drama. 15 do both dancing and music, 11 do both dancing and drama and 13 do both music and drama and 5 do dancing, music and drama. Remaining members do arts. Let D represents the randomly selected member does dancing, M represents the randomly selected member does music, R represents the randomly selected member does drama. A represents the randomly selected member does arts. Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions. a) Find the probability that a randomly selected member either does dancing or music. b) Find whether the events “The randomly selected member does drama” and “The randomly selected member does music” are independent or not.
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1. An aesthetic club has 100 members. Out of them 40 do dancing, 45 do music and 24 do drama. 15 do both dancing and music, 11 do both dancing and drama and 13 do both music and drama and 5 do dancing, music and drama. Remaining members do arts. Let D represents the randomly selected member does dancing, M represents the randomly selected member does music, R represents the randomly selected member does drama. A represents the randomly selected member does arts. Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions. a) Find the probability that a randomly selected member either does dancing or music. b) Find whether the events “The randomly selected member does drama” and “The randomly selected member does music” are independent or not. |
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