FLVS Algebra 9.02: Exam: 09.02 Independent Probability

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below: A Venn Diagram titled College Majors with two circles labeled Math and Science. In the math portion is 120. In the intersection is ??. In the Science portion is 50. The area outside the two circles is labeled 100. If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent. 10% 17% 33% 40%

10%

Juniors and seniors at a local school were surveyed to see if they were left-handed or right-handed. The data is displayed in the table below: Junior Senior Left-handed 36 14 Right-handed 44 106 If a student is chosen at random from this group, what are the chances of choosing a student who is a left-handed senior? 7% 18% 22% 53%

7%

Ella's college professors assign homework independently from each other. Ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have English homework. What is the probability that she will NOT have math or English homework tonight? 10% 12% 42% 70%

IT IS NOT 10%

A two-way frequency table shows baldness in men over 45 and men under 45: Under 45 Over 45 Total Bald 24 16 40 Not Bald 36 24 60 60 40 100 Based on this data, are baldness and being over 45 independent events? No, P(bald ∩ over 45) ≠ P(bald) ⋅ P(over 45) No, P(bald ∩ over 45) = P(bald) ⋅ P(over 45) Yes, P(bald ∩ over 45) ≠ P(bald) ⋅ P(over 45) Yes, P(bald ∩ over 45) = P(bald) ⋅ P(over 45)

Yes, P(bald ∩ over 45) = P(bald) ⋅ P(over 45)

In a group of 1,200 people, 468 have brown eyes, 252 have blue eyes, 132 have green eyes, and 348 have black eyes. What is the probability that a person chosen at random from this group has blue eyes? P(blue) = 11% P(blue) = 29% P(blue) = 21% P(blue) = 39%

P(blue) = 21%