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9th_prob_test.docx - IIT-JEE AIPMT Engineer Your Education...

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IIT-JEE/ AIPMT Engineer Your Education to Success with a Group Exclusive of NITIANS D-8 KOELNAGAR, D-71 KOELNAGAR, L-46 BASANTI COLONY MATHEMATICS : TOPIC - PROBABILITY TIME: 1:30 HRS CLASS IX MAX MARKS:50 (Note : 1.Solve each of the questions and answer them up to 1 places of decimal. 2. Numbers shown in right side of question indicates the marks allotted.) Q1. A coin is tossed 1000 times with frequencies of Head: 455 and Tail: 545 find the probability for each event. [2] Q2. In a cricket match a batsman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary. [1] Q3. The record of a weather station shows that out of past 250 consecutive days, its weather forecasts were correct 175 times. Then fine the probability such that: [4] A) On a given day it was correct. B) It was not correct on a given day. Q4. Eleven bags of wheat flour, each marked 5kg, actually contained the following weights of flour: [3] 4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00 Find the probability that any of these bags chosen at random contains A) More than 5 kg. B) Less than 5 kg. C) Less than or equal to 5 kg. Q5. Two coins are tossed simultaneously 500 times, and we get [4] Two heads: 105 times One head: 275 times No head: 120 times Find the probability of occurance of each of these events Find the probability of occurance of head at most 2 times
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