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Question 13
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Wath Chapter 15 - Probability cass 10 Answer the questions based on the information given. HOOK-A-DUCK is a traditional stall game. A number of identical rubber ducks are floated in a water trough. The ducks have metal rings fastened to their heads. The player captures the ducks using a pole with a hook at one end. Although the ducks appear identical, the letters S, M or L appears on the bottom of some ducks, signifying that the player who captures them receives a Small, Medium or Large prize respectively. A duck with no letter signifies no prize. In order to play the game, a player needs to buy a token and is given three attempts per token. In each attempt, he needs to capture a duck. The captured ducks are examined to reveal whether they have any letter and the player gets the prizes accordingly. The ducks are returned to the trough only after the player finishes all the three attempts. If a player buys more than one token, the ducks are returned to the trough after every 3 attempts. Sam is playing one such game where there are 120 ducks in the trough. The ratio of the number of ducks without any letter to the number of ducks with letters S, M and is 10:6:3:1 respectively. Q: 1 Sam is playing his first attempt of the game. What is the probability that he wins a medium prize? 11 2. 3] 4 Q: 2 A player captures empty ducks in his first two attempts. What is the probability that he will win a small prize in his third attempt? [1 2. 3] Q: 3 Meera is playing the game and she got a duck marked 5 in her first attempt. Which duck will be most likely captured by her in the second attempt? I1 A duck with letter S B. A duck with letter [2 A duck with letter 4 A duck with no letter 196
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