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VIVEKANANDA RESIDENTIAL SCHOOL, ( Affiliated to C.B.S.E., Delhi – School Code No. 130052 ), Vivekanandapuri, Karimnagar – 505001 (T.S.) 0878 – 2222768 / 2222769, e-mail : contactvrschool@gmail.com URL : www.vrschool.com, , CASE STUDY, Class: IX (Mathematics), , Topic: Probability, CASE STUDY-1, , Read the Source/Text given below and answer questions:, Aditi runs a handicraft shop in Bapu bazar in Jaipur. She makes beautiful necklaces, using colourful beads which she keeps in a potli. Today she prepared 19 necklaces, but could not make the 20th necklace as she had no yellow beads left. She counted, the beads and found that there were 8 red, 6 green and 14 blue beads remaining in, her potli. Her little daughter Dulari requested for a bead. Aditi decides to take out one, beadfrom her potli for Dulari., , 1. Find the probability that she draws a green bead., (a) 3/11, (b) 3/7, (c) 11/14, (d) 3/14, 2. Find the probability that the bead drawn by her is not green., (a) 3/11, , (b) 3/7, , (c) 11/14, , (d) 3/14, , 3. Find the probability that she draws either a green or a blue bead., (a) 5/7, , (b) 5/12, , (c) 7/12, , (d) 3/14, , 4. Find the probability that she draws neither a red nor a green bead., (a) 3/14, , (b) 1/3, , (c) 3/7, , (d) 1/2, , 5. Which of the following is an impossible event?, (a) The bead drawn is not red, , (b) The bead drawn is neither red nor blue, , (c) The bead drawn is either red or green or blue. (d) The bead drawn is yellow., , *******
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CASE STUDY-2, Read the Source/Text given below and answer questions:, One day, during games period four friends A, B, C and D planned to play game using, number cards. They prepared 20 numbered cards with labelled 1 to 20 and then they, put all the number cards in the empty chalk box available in the classroom. In this, game, every friend was asked to pick the card randomly and after each draw, card, was replaced back in the chalk box., , 1. Find the probability, first boy pick the card and he get the card with an even, number?, (a) 1, , (b) 3, , (c) 6, , (d) 8, , 2. If the card drawn in first case is replaced, and the second boy draws a card., What is the probability getting a prime number?, (a) 1, , (b) 3, , (c) 6, , (d) 8, , 3. Find the probability of getting a prime number., (a) 1/20, , (b) 3/20, , (c) 6/20, , (d) 8/20, , *******, CASE STUDY-3, Read the Source/Text given below and answer questions:, One day Rahul visited park along with his friend. There he saw a game of chance, that consists of spinning an arrow (as shown in below figure) that comes to rest, pointing at one of the numbers 1, 2, 3, 4, 5,6, 7, 8 and these are equally likely, outcomes., 1. Find the probability that the arrow will point at 2., (a) 1/8, (b) 3/2, (c) 6/8, (d) 8/20, 2. Find the probability that the arrow will point at an even number., (a) 1/2, , (b) 3/2, , (c) 1/8, , (d) 8/20
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3. Find the probability that the arrow will point at a prime number., (a) 1/2, , (b) 3/2, , (c) 1/8, , (d) 3/20, , 4. Find the probability that the arrow will point at a number divisible by 3, (a) 1/4, , (b) 3/4, , (c) 1/8, , (d) 13/4, , *******, CASE STUDY-3, Read the Source/Text given below and answer questions:, Aditya went to shop to purchase a child's game along with his friend. He selected one, child's game which has 8 triangles of which 3 are blue and rest are red, and 10, squares of which 6 are blue and rest are red. While checking the game, one piece is, lost at random., 1. How many triangles and squares are in red colour?, (a) 5,4, (b) 3,2, (c) 6,8, (d) 8,2, 2. Find the probability that a red triangle., (a) 5/18, , (b) 3/18, , (c) 1/18, , (d) 8/20, , 3. Find the probability that is getting a red square., (a) 4/18, , (b) 3/2, , (c) 1/8, , (d) 3/20, , *******, CASE STUDY-4, Read the Source/Text given below and answer questions:, Diwali Fest is an annual South Asian arts & culture festival, produced by the Diwali, Celebration Society. In the Diwali fest, a game is played which is like that, there isa, spinner on which some numbers are written. The numbers on spinner are 2, 5, 7,, 9, 12, 16. Depending on the condition of stall owner, if a particular number comes,, than a die will be thrown., 1. What the probability that spinner stops at even number?, (a) 1/2, (b) 3/2, (c) 6/8, (d) 3/2, 2. What the probability that spinner stops at perfect square number?, (a) 1/3, , (b) 3/2, , (c) 1/8, , (d) 8/3, , 3. What the probability that dice stops at even number?., (a) 1/2, , (b) 3/2, , (c) 1/8, , (d) 5/2
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4. If a dice is thrown what the probability getting less than 4?, (a) 1/2, , (b) 3/4, , (c) 1/8, , (d) 1/4, , *******, CASE STUDY-5, Read the Source/Text given below and answer questions:, Mohan has a box of coloured pens. He takes a pen at random from the, box. The probability that she takes a red pen is 0.4. If the box contains, total 50 pens of blue, green and red colour and there are 15 blue pens and, 15 green pens, then answer the following questions:, , *******