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Solved Examples
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f   Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.   f View Solution
f   Sam has a box, which has 2 milk chocolates (D), 2 dark chocolates (P) and 2 Milky bars (M). What is the probability of picking two chocolates of the same flavor without looking?
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f   Tony went to a restaurant. Two desserts and four beverages were available there. The desserts were Ice cream and Pudding. The beverages were Orange juice, Coffee, Tea and Milk shake. Use a tree diagram and find the different combinations of beverages and desserts from which Tony had to select.   f View Solution
f   A tree diagram is useful in determining the __________ of a probability experiment.   f View Solution
f   Use the tree diagram to find the number of possible outcomes when a coin is tossed twice.
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f   From a bottle containing 1 green ball and 1 red ball, a ball is drawn at random, replaced in the bottle and another ball is drawn. Find the sample space from the tree diagram below.
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f   Use the tree diagram to find the number of possible outcomes from spinning the two spinners shown together.   f View Solution
f   The two spinners are spun together. Use the tree diagram to find the number of outcomes for which the sum of numbers on the two spinners equals 3.   f View Solution
f   Use the tree diagram to find the probability of tossing two heads when a coin is tossed twice.
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f   From a bottle containing one black and one white marble, a marble is drawn, replaced and then another marble is drawn again. Find the probability that the two marbles drawn are of the same color.   f View Solution
f   Use a tree diagram to find the number of possible outcomes when a coin is tossed three times.
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f   Use the tree diagram to find the probability of spinning the same number in succession when the spinner is spun 2 times.
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f   The two spinners are spun together. Find the probability for which the sum of numbers on the two spinners is 8.   f View Solution
f   John has a box, which has 2 milk chocolates (D), 2 dark chocolates (P) and 2 Milky bars (M). What is the probability of picking two chocolates of the same flavor without looking?
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f   Four queen cards are placed on the table. A coin is tossed and one of the queen is chosen simultaneously. What is the probability of getting a tail on the coin and the queen of diamonds?
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f   Chris went to a restaurant. Two desserts and four beverages were available there. The desserts were Ice cream and Pudding. The beverages were Orange juice, Coffee, Tea and Milk shake. Use a tree diagram and find the different combinations of beverages and desserts from which Chris had to select.   f View Solution
f   Simon must wear either a yellow shirt (YS) or a green shirt (GS) with a white trouser (WT) or a black (BT) trouser. Use a tree diagram and find the number of combinations of shirts and trousers he can wear.
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DDD A coin is tossed and the number cube is rolled simultaneously. Find the probability of getting tail on the coin and number 5 on the cube using tree diagrams.
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DDD Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.
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DDD A bag has red, blue, and green balls. A ball is picked and a coin is tossed at random simultaneously. Find the sample space from the tree diagram.
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DDD Matt wants to buy a car. He has to choose between 2 brands of cars, Camry and BMW. The two brands come with a gray or black interior. Find the probability of choosing a Camry with Gray interior. DDD View Solution
DDD Use a tree diagram to find the number of ways in which pen, pencil and eraser can be distributed to Mary's friends, Alice, Lucy, Heather and Annie. DDD View Solution
DDD Use a tree diagram to find the probability of choosing a red colored shirt of small size among red and green shirts of four sizes, s, l, m and xl. DDD View Solution
DDD Tony has 4 markers: pink, green, blue, and yellow. He wanted to make a drawing choosing 2 different markers. How many different choices does he have?
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DDD Tom can order a thick or thin crust pizza with 2 different toppings. The choices of toppings are mushroom and onions. Which diagram shows every possible combination of a pizza that Tom can order?
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DDD Amy tossed a penny, a nickel, and a dime at the same time. Identify the tree diagram that shows all the possible outcomes.
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DDD A store sells handbags in two colors: black and white. They are available in 2 different sizes: small and large. Which diagram shows every possible combination of the color and size of a bag that one can buy?
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DDD A test paper contains two types of questions: 'true or false' type and 'yes or no' type. Pick the tree diagram that represents all the possible answers to these questions.
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DDD A bag contains 3 red and 5 white toys. Rose picked two toys one after the other. Which tree diagram shows all the possible combinations of toys that Rose picked? DDD View Solution