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Independent or Dependent Probability Practice?1.??What is the probability of getting a composite number on the first roll of a die and getting a prime number on the second roll??2.?There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color??3.?There are?5 red roses,?3 yellow roses,?and?8 white roses in a tray.?If Stephanie picked2 roses?one after the other without replacing, then what is the probability of picking a white rose first and a red rose next??4.??There are?6 pink?and?8 white balls?in a bag. If two balls are drawn one after the other, then what is the probability of getting a pink ball first and white ball next, if the first ball drawn is replaced??7.??Which of the following events are not mutually exclusive?drawing a 3 and a diamond from a standard deck of cardsrolling a 3 or 5 on a single roll of a number cuberolling a number greater than 3 or a multiple of 3 when a pair of dice is rolledtossing a coin and rolling a number cube?8.?Which of the following events are not mutually exclusive?drawing a 3 and a diamond from a standard deck of cardsrolling a 3 or 5 on a single roll of a number cuberolling a number greater than 3 or a multiple of 3 when a pair of dice is rolledtossing a coin and rolling a number cube?9.? 4 red cubes and 4 white cubes are there in a basket. If two cubes are drawn at random, then what is the probability that the first one is white and the second one is red?10.??Arthur has 4 brown, 5 violet, and 3 pink sweaters. If he selects 2 sweaters one after the other without replacement, then what is the probability that both are violet in color?11.??Jerald has 12?one-dollar?coins and 16?one-cent?coins in his pocket. If he randomly takes out two coins one after the other without replacement, then what is the probability that the two coins are?one-dollar?coins?12.??From a deck of 52 cards, Jerald draws two cards one after the other at random. What is the probability that both the cards are face cards?13.??A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?14.??A box contains cards with the letters of the word?M I S S I S S I P P I?printed on them. What is the probability of selecting an M first and an S or P next?15.??5 cubes are rolled at a time. What is the probability that you get a number less than 4 on all the cubes?16.??There are 64 tiles of which 40 represent vowels in a game of scrabble. Two tiles are drawn such that the first is replaced before the second is drawn. What is the probability of getting a vowel both the times?17.??Charles rolls a four-sided dice (numbered 1 to 4) and a ten-sided dice (numbered 1 to 10). What is the probability that the outcome of the 1st?dice is a number greater than 1 and the outcome of the 2nd?dice is a number less than 7?18.??Carol, on her birthday, cuts a cake into 12 pieces. 8 of those pieces have a cherry on each of them. If each piece is given to her 11 friends and she takes one piece, then what is the probability of Carol and her friend Rose getting a piece with a cherry?19.??Which of the following are dependent events?1. Getting an even number in the first roll of a number cube and getting an even number in the second roll.2. Getting an odd number on the number cube and spinning blue color on the spinner.3. Getting a face card in the first draw from a deck of playing cards and getting a face card in the second draw. (The first card is not replaced)20.??Two cards are drawn from a set of 10 cards numbered from 1 to 10, without replacing the first card. What is the probability that both the cards have prime numbers on them?21.??What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?23.??There are 150 tiles of which 15 are?A's in a scrabble game. What is the probability of getting both?A's when two tiles are drawn?24.??There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?25.?Each of the two bookshelves contains 15 books on science and 9 books on math. What is the probability of selecting a science book from the top bookshelf and a math book from the bottom bookshelf??26.?Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?27.??Each of the spinners has 3 equal segments as shown in the figure. What is the probability of spinning a pink on?spinner A?and a blue on?spinner B?28.??Two class monitors are to be chosen, one from the boys and one from the girls in a class. What is the probability if there are 30 boys and 45 girls in the class?31.??A box contains all the letters of the word?U N D E R S T A N D.?What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?32.??You roll two dice. What is the probability that the number on the first dice is greater than 1 and the number on the second dice is less than 4?34.??A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?35.??There are 3 rabbits, 4 dogs and 2 cats in a pet store. First a rabbit and then a cat are selected at random. Are the two events dependent?36.??Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?37.??Two cards are drawn one after the other from a standard deck of cards. Find the probability of drawing a black card and then a red card.38.??A spinner has the six letters of the word N U M B E R written on each of its six equal segments. Arthur tosses a coin and spins the spinner. What is the probability of the coin landing on head and M being the outcome of the spinner?40.??A football team coach needs two more players to form a team. There are 15 boys ready to play but out of them only 5 are good and the remaining are average players. What is the probability that two players selected are good players?41.??Which of the following are independent events?1) Spinning an even number and then spinning an odd number on the same spinner.2) Picking a blue marble and then picking a green marble randomly from a jar replacing the first.3) Picking a red marble randomly from one jar and picking a red ball randomly from the second jar.42.??Are the two events dependent or independent??1. Choosing a milk bottle from the fridge.2. Choosing a soft drink bottle from the fridge.43.??There are 10 pens and 15 pencils in a box. If a student selects two of them at random, then what is the probability of selecting a pen and then a pencil??44.?12 different kinds of ice creams and 15 different kinds of fruit juices were offered at a party. If Edward chooses two of them at random, then what is the probability that he gets an ice cream first and a fruit juice next??45.??A boy has 80 marbles in his bag. 23 of them are white-colored and the rest are black-colored. Two marbles are picked one after the other. What is the probability that the two marbles picked are black-colored?46.?Tim draws a card from a pack of cards and also throws a die. What is the probability of Tim drawing a king and getting a number less than 4?48.??A box contains cards named with the letters of the word?B U S I N E S S.?If two cards are drawn one after the other, then what is the probability that both are?S's?49.??Jim has 6 different pairs of shoes with 2 pairs of formal shoes and 4 pairs of sports shoes. If two pairs of shoes are chosen one after the other, then what is the probability that the first one is a pair of formal shoes and the second one is a pair of sports shoes?50.??In a group of 10 men, 4 speak English, 3 speak Spanish and 3 speak French. If 2 are selected at random, then what is the probability that the first man chosen speaks English and the second one chosen speaks French? ................
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