19. At a local high school, 30% of the students are enrolled in Chemistry. Of the students enrolled in Chemistry, 60% are also enrolled in Algebra 2. Of the students not enrolled in Chemistry, 20% are...

#19

Extracted text: 19. At a local high school, 30% of the students are enrolled in Chemistry. Of the students enrolled in Chemistry, 60% are also enrolled in Algebra 2. Of the students not enrolled in Chemistry, 20% are enrolled in Algebra 2. What is the probability that a randomly chosen student from this high school is enrolled in Algebra 2? 0.40 a. с. 0.32 b. 0.80 d. 0.18 20. A teacher at a local high school surveyed the senior students. Two of the variables recorded for the 200 students were whether the student had any siblings and whether the student typically drives to school. The following table summarizes the responses. Let D be the event that a student drives to school and S be the event that the student has at least one sibling. Find P(D|S). Drive to school Yes No Total Have any siblings Do not have siblings Total 80 40 120 50 30 80 130 70 200 a. 80/120 с. 80/200 b. 130/200 d. 80/130 21. A carnival game is played by rolling a ball into a hole. Eight players are needed to play the game and the top three places win raffle tickets. The first place finisher wins 3 tickets, the second place winner wins two tickets and the third place finisher wins one ticket. Which of the following expression can be of used to determine the number of different ways there are for the three winners be selected from the eight players? a. P3 b. C3 gPs d. Cs 22. A fair die is rolled five times. What is the probability that the face with six on it lands face up at least once c. in the five rolls? 0.0001 b. 0.9998 а. с. 0.4019 d. 0.5981 23. A deck of cards contains 52 cards. The cards are equally separated into four suits, hearts, diamonds, clubs, and spades. A game is played by shuffling a deck of cards and dealing 5 cards. What is the probability that the five cards will all be hearts? 0.0005 b. 0.25 c. 0.0020 0.0010 а. d. 24. At a local high school, 30% of the students are enrolled in Chemistry. Of the students enrolled in Chemistry, 60% are also enrolled in Algebra 2. Of the students not enrolled in Chemistry, 20% are enrolled in Algebra 2. What is the probability that a randomly chosen student from this high school is enrolled in Chemistry if we know the student takes Algebra 2? 0.60 0.18 0.5625 а. с. b. 0.32 d. 25. At a local high school, 30% of the students have a part-time job, 45% are on the principal's honor roll, and 20% are students that have a part-time job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on the principal's honor roll? с. 35% d. 75% а. 95% b. 55%