Name: Date: Period: Probability with Two-Way Tables Practice Worksheet 1) Lexie surveyed 30 students in her class regarding eye color and hair color. Partial results are shown in the two-way table. Light hair Dark hair TOTAL Blue eyes 8 13 (a) Complete the table, then find the following probabilities. Other 10 Show notation and work. TOTAL 15 15 (b) What is the probability a randomly chosen student from the class has blue eyes? (c) What is the probability a randomly chosen student from the class has blue eyes and dark hair? (d) What is the probability a randomly chosen student from the class has non-blue eyes or light hair? 2) Mark is looking to buy a new car, but he wants Mercedes BMW Volkswagen TOTAL it to be different than what other people drive to Grey 14 31 work, so he observes all of the car in the parking Red 4 11 23 lot one day. The partial results are in the two-way Blue table below. TOTAL 12 25 60 (a) Complete the table, then find the following probabilities. Show notation and work. (b) Find the probability of randomly selecting a red car. (c) Find the probability of randomly selecting a car that is not a Volkswagen. (d) Find the probability of randomly selecting a Mercedes or a red car. (e) Find the probability of randomly selecting a blue car and a BMW. (f) Find the probability of randomly selecting a car that is not grey and a BMW.3) Meredith asked a random sample of students at her school about their summer vacations - their destination and their accommodations. The partial results are in the two-way table below. Condo Hotel Family Tent TOTAL Europe 3 2 22 South America 5 Japan 5 0 11 TOTAL 12 13 10 50 (a) Complete the table, then find the following probabilities. Show notation and work. (b) Find the probability a randomly selected child stayed in a hotel. (c) What is the probability a randomly selected child stayed in a tent and went to Europe? (d) What is the probability a randomly selected child did not stay in a condo or did go to Japan? 4) Cristina gave a census at a local elementary Boys Girls TOTAL school to collect information about gender and Can swim 175 114 swimming ability. The results are partially given Cannot swim 389 216 in the two-way table. TOTAL (a) Complete the table, then find the following probabilities. Show notation and work. (b) What is the probability a randomly selected child can swim? (c) What is the probability a randomly selected child can swim and is a girl? (d) Find the probability a randomly selected child cannot swim and is not a boy. (e) Find the probability a randomly selected child can swim and is a boy