Blog

(Applying Two-Way Frequency Tables MC)A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table. Beauty Tips Contests Interviews Reveals Artist 31 5 11 16 Student 29 15 19 14 Engineer 12 17 21 17 Nurse 8 23 29 23 Determine the empirical probability that a person who watched videos was an artist watching beauty tips.

(Applying Two-Way Frequency Tables MC)A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table. Beauty Tips Contests Interviews Reveals Artist 31 5 11 16 Student 29 15 19 14 Engineer 12 17 21 17 Nurse 8 23 29 23 Is being an artist independent of watching contests for these social media users? Justify your conclusion.

(Addition and Multiplication Rules for Probability MC)A cafe offers 9 types of coffee, 3 types of tea, and 4 types of soft drinks. Determine the total number of beverages from which a customer can choose.

(Laws of Logic and Valid Arguments MC)Use the statements and truth table to determine which argument is valid.p: It rained.q: The grass is wet. Premise 1 Premise 2 Conclusion p q p → q T T T T F F F T T F F T

(Combinations and Permutations MC)A spelling bee has 22 contestants. In how many ways can they finish in first, second, and third place?

(Combinations and Permutations MC)A spelling bee has 21 contestants. In how many ways can they finish in first, second, and third place?

(Exploring Set Relationships Using Venn Diagrams LC)Which of the following is a subset of S = {dog, cat, pig, rabbit, squirrel, fish, hamster, elephant, zebra, snail}?

(Events and Sample Spaces MC)Set A = {engineer, architect, teacher} and Set B = {architect, teacher, mechanic, driver}.Determine the elements in A ∪ B.

(Combinations and Permutations LC)Calculate the number of permutations given n = 16 and r = 5.

(Addition and Multiplication Rules for Probability LC)P(A) = 0.53, P(B) = 0.21, and P(B | A) = 0.53. Are the events independent? Justify mathematically.