1.) Consider two events such that P(A) = 1/6, P(B) = 3/5 , and P(A ∩ B) = 2/15. Are events A and B independent events?
A. Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
B. No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
C. Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
D. No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
2.) In a city school, 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair. What is the probability (rounded to the nearest whole percent) that a randomly selected student has dark hair, given that the student has blue eyes?
A. 67%
B. 21%
C. 43%
D. 46%
+817 1). 1/6*3/5=.1, So we can eliminate A and B
They are independent be/c they do not rely on each other, so C
2). Could you please rephrase this to be more specific?
