2. In a large class of 50 students, 25 are Black, 15 are Asian, and the rest are White. Of the Blacks, 13 have high self-esteem, 8 have average self-esteem, and the rest have low self-esteem. Among the Asians, 8 have high self-esteem, 6 have average selfesteem, and the rest have low self-esteem. Of the Whites, 4 have high self-esteem, 4 have average self-esteem, and the rest have low self-esteem. Consider Event A = selecting a Black student, or Asian with average self-esteem, or a White student with low self-esteem; Event B = selecting an Asian student with high self-esteem or and Asian student with average self-esteem, or a Black student with average self-esteem, or White student a. What is the probability of choosing a White student with low self-esteem? (3 marks) b. What is the probability of choosing a student with high self-esteem? (6 marks) c. Draw the venn diagram for event A and B. (8 marks) d. Calculate p(A or B). (9 marks)
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