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{"ops":[{"insert":"In a survey conducted among a random sample of students the following observations were made \n\n\nregarding their gender and learning environment preferences during the COVID-19 pandemic:\n\n\n168 prefer online learning\n\n\n202 prefer face to face learning\n\n\n180 prefer blended learning\n\n\n34 male students prefer online learning and 70 male students prefer blended learning\n\n\n106 female students prefer face to face learning \n\n\nRequired:\n\n\na) What is the probability that a female student is chosen?\n\n\nb) What is the probability that a male student prefers face to face learning?\n\n\nc) What is the probability that a student prefers online or blended learning?\n\n\nd) If it\u2019s known that the student is female, what is the probability that this student prefers online \n\n\nlearning.\n\n\ne) Using a practical example, explain the difference between mutually exclusive events and \n\n\nindependent events.\n\n\n"}]}
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