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Solved Examples
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cc  Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.  cc View Solution
cc  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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cc  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.  cc View Solution
cc  A tree diagram is useful in determining the __________ of a probability experiment.  cc View Solution
cc  Use the tree diagram to find the number of possible outcomes when a coin is tossed twice.
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cc  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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cc  Use the tree diagram to find the number of possible outcomes from spinning the two spinners shown together.  cc View Solution
cc  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.  cc View Solution
cc  Use the tree diagram to find the probability of tossing two heads when a coin is tossed twice.
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cc  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 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   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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f   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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f   Use a tree diagram to find the number of possible outcomes when a coin is tossed three 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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f   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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f   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.   f View Solution
f   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.   f View Solution
f   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.   f View Solution
f   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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f   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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f   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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f   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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f   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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f   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?   f View Solution