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Additional problems require using given probabilities to classify independence and find missing probabilities, including conditional probability and joint probability. 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In these problems, independence is determined by whether the second outcome is affected by the first.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does it mean if events are dependent?",{"text":68,"@type":64},"Events are dependent when the outcome of one event changes the probability of the other. The worksheet includes situations like selecting items without replacement where probabilities shift after the first pick.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you find a missing probability in these worksheets?",{"text":72,"@type":64},"Use relationships among P(A), P(B), P(A and B), and conditional probability P(A | B) as guided by the independence/dependence classification. 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The coin lands heads-up and the die shows a one.  \n3) A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.  \nFind the probability.  \n5) You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.  \n7) There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear blueshirts both days.  \n2) A bag contains eight red marbles and four blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. The first marble is red and the second marble is blue.  \n4) A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, you get fruit-punch.  \n6) You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.  \n8) A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.  \nDetermine if events A and B are independent.  \n9) P(A) = 􀀕􀀘 P(B) = ~~ ~~􀀔􀀘 P(A and B) = 􀀕􀀕􀀘~~ ~~ 10) P(A) = 􀀕􀀘 P(B) = 􀀔􀀗 P(A and B) = 􀀕􀀔􀀘  \n11) P(A) = ~~ ~~􀀜􀀕􀀓 P(B) = ~~ ~~􀀔􀀕 P(A |B) = 􀀕􀀘􀀚􀀓~~ ~~ 12) P(not A) = 􀀖􀀗 P(B) = ~~ ~~􀀖􀀔􀀓 P(A and B) = 􀀖􀀗􀀓  \nEvents A and B are independent. Find the missing probability.  \n13) P(A) = 􀀔􀀗 P(B) = ~~ ~~􀀖􀀘 P(B |A) = ? 14) P(B) = 􀀜􀀕􀀓 P(A |B) = ~~ ~~􀀔􀀘 P(A) = ?  \n15) P(A) = ~~ ~~􀀖􀀔􀀓 P(B) = 􀀔􀀕􀀖􀀓 P(A and B) = ? 16) P(B) = 􀀜􀀕􀀓 P(A and B) = ~~ ~~􀀔~~ ~~􀀜􀀓􀀓 P(A) = ?  \n17) P(A) = 􀀕􀀘 P(A and B) = ~~ ~~􀀖􀀔􀀓 P(not B) = ? 18) P(A) = ~~ ~~􀀚􀀔􀀓 P(A or B) = 􀀔􀀕􀀚􀀓􀀖􀀓 P(B) = ?  \nFind the missing probability.  \n19) P(B) = 􀀕􀀘 P(A and B) = ~~ ~~􀀔􀀔􀀓 P(A |B) = ? 20) P(A) = ~~ ~~􀀖􀀘 P(B |A) = ~~ ~~􀀖􀀔􀀓 P(A and B) = ?  \n21) P(not A) = ~~ ~~􀀖􀀘 P(A and B) = ~~ ~~􀀙􀀕􀀘 P(B |A) = ?  \n22) P(B) = 􀀓􀀑􀀗􀀘 P(A or B) = 􀀓􀀑􀀚􀀕 P(B |A) = 􀀓􀀑􀀗 P(A) = ?  \nKuta Software-Infinite Algebra 2 Name   \nIndependent and Dependent Events Date  Period   \nDetermine whether the scenario involves independent or dependent events.  \n1) You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows a one.  \nIndependent  \n3) A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.  \nDependent  \nFind the probability.  \n5) You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.  \n 􀀔   \n􀀗  \n􀀠 􀀓􀀑􀀕􀀘  \n7) There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear blueshirts both days.  \n 􀀖   \n􀀔􀀗  \n􀁼 􀀓􀀑􀀕􀀔􀀗  \n2) A bag contains eight red marbles and four blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. The first marble is red and the second marble is blue.  \nDependent  \n4) A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, y","cbCaiaFvDpWwXlqg","https://ap.wps.com/l/cbCaiaFvDpWwXlqg","pdf",28683,"English","# Determine independent or dependent events\n## Find the probability\n# Determine whether events A and B are independent\n## Find the missing probability","[{\"question\":\"How can you tell whether two events are independent?\",\"answer\":\"Two events are independent when the probability of both occurring equals the product of their individual probabilities. In these problems, independence is determined by whether the second outcome is affected by the first.\"},{\"question\":\"What does it mean if events are dependent?\",\"answer\":\"Events are dependent when the outcome of one event changes the probability of the other. The worksheet includes situations like selecting items without replacement where probabilities shift after the first pick.\"},{\"question\":\"How do you find a missing probability in these worksheets?\",\"answer\":\"Use relationships among P(A), P(B), P(A and B), and conditional probability P(A | B) as guided by the independence/dependence classification. The missing values are solved using those probability formulas.\"}]","Independent and Dependent Events - Determine whether scenarios involve independent or dependent events | PDF",1791426061]