Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name: _____________________ Date: ____________ Per.: ______ Algebra II Notes: Independent and Dependent Probability 1. If an 8-sided die is rolled once, what is the probability of rolling an even number and a number less than five? Independent/ Dependent Let A = P(A)= Let B= P(B)= P(A B)= 2. If an 8-sided die is rolled twice, what is the probability that it will land on even numbers each time? Independent/ Dependent Let A = P(A)= Let B= P(B)= P(A B)= 3. Kevin flipped a fair coin three times. What is the probability that all three toss will be the same? Independent/ Dependent 4. Gus and Mario play on a baseball team. Gus has 8 hits out of 20 times at bat, and Mario has 6 hits out of 16 times at bat. Based on their past performance, what is the probability that both boys will get a hit next time at bat? Independent/ Dependent 5. Two cards are drawn from a deck of 52. Determine whether the events are independent or dependent. Find the probability. a. Selecting two hearts when the first card is replaced. Independent/ Dependent b. Selecting two hearts when the first card is not replaced. Independent/ Dependent c. A queen is drawn, is not replaced, and then a king is drawn. Independent/ Dependent Name: _____________________ Alg. II; Period : ____________ Date: ___________________ Ms. Ngo HW # _______: Independent and Dependent Probability Indicate whether the probability is independent or dependent. Define the events. Find the probability. 1. Selina’s math teacher told the class that if she rolled three dice and they all turned up one, she would let them skip their homework for a month. What is the probability of this actually happening? Independent/ Dependent 2. Suppose Andrew has the following five books in his backpack: Chemistry, Biology, Calculus, Physics, and Psychology. Without looking, he picks a book. He replaces the book and repeats this process. What is the probability that the first time he picks Physics or Chemistry, and the second time he picked Physics? Independent/ Dependent 3. The probability of snow for any given weekend in December is 60%. What is the probability of getting snow three consecutive weekends in December? Independent/ Dependent 4. Mr. Espinoza has twelve students in his research class. There are seven girls and five boys. If he chooses two students to take the recycling bin to the recycling center at random, what is the probability that the first student picked is a boy and the second student picked is a girl? Independent/ Dependent 5. A bag contains 10 beads—2 black, 3 white, and 5 red. A bead is selected at random. Determine whether the events are independent or dependent. Find the indicated probability. a. Selecting a white bead, replacing it, and then selecting a red bead. Independent/ Dependent b. Selecting a white bead, not replacing it, and then selecting a red bead. Independent/ Dependent c. Selecting 3 non-red beads without replacement. Independent/ Dependent Review: 1. Gus went to a buffet restaurant for lunch. He had to choose from four main courses, three side dishes, three drinks, and two desserts. How many different combinations could he have created? 2. Luis was going to buy a car. The model he wanted came in three different exterior colors, with two different interiors (cloth and leather), and three different stereo options. How many ways could Luis configure the car? 3. What is the solution of the following linear system? 2 x 5 y 3 z 10 3 x y 4 z 8 5 x 2 y 7 z 12