
question_answer1) A shared garden area has 16 patches owned by 16 different people. The patches are separated by fences as shown. If a patch is selected at random, then what is the possibilities that it has three shared fences?
A) \[\frac{1}{3}\] done
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B) \[\frac{1}{4}\] done
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C) \[\frac{1}{2}\] done
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D) \[\frac{1}{6}\] done
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question_answer2) 100 people arriving at the beach are asked their age. The results are shown alongside. Assuming that they give honest replies. What is the possibility that a randomly selected person on the beach will be aged between 30 or more?
Age  Frequency 
09  25 
1019  17 
2029  31 
3039  20 
40  7 
A) 0.273 done
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B) 0.270 done
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C) 0.271 done
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D) 0.272 done
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question_answer3) Over a 70 days period David records the number of phone calls he receives. The graph of his data is shown alongside. The Possibility that on any day David will receive at least 3 phone calls.
A) 0.453 done
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B) 0.534 done
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C) 0.543 done
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D) 0.435 done
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question_answer4) In a random survey of a district, people were asked whether they will vote for political Party A, B or C. The results are shown alongside. What is the possibility that a randomly chosen voter in the district will vote for A?
A  B  C 
60  100  160 
330  84  96 
A) 035 done
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B) 0.25 done
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C) 0.45 done
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D) 0.55 done
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question_answer5) Tony and Hari each spins the spinner alongside. The possibility that tony spins prime number and Hari spins a multiple of 3 is
A) \[\frac{1}{8}\] done
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B) \[\frac{1}{8}\] done
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C) \[\frac{1}{4}\] done
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D) \[\frac{5}{8}\] done
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question_answer6) Suppose that a pair of dice is rolled. The 25 different possible results are illustrated on the 2dimensional grid. The possibility of getting a sum of greater than 8 is
A) \[\frac{1}{12}\] done
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B) \[\frac{5}{18}\] done
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C) \[\frac{6}{25}\] done
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D) \[\frac{3}{25}\] done
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question_answer7) Robin begins a game of battleship by placing an aircraft or \[\mathbf{10\times 10}\]grid. The aircraft carrier must be placed horizontally or vertically occupying 5 squares. One possible position is shown alongside. Robin selects one of those positions at random. What is the possibility that the aircraft carrier occupies the square B3?
A) \[\frac{1}{4}\] done
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B) \[\frac{1}{2}\] done
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C) \[\frac{7}{60}\] done
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D) \[\frac{1}{24}\] done
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question_answer8) A spinner with the numbers 1 to 5 written on equal sectors is spin once. What is the possibility of spinning a prime number?
A) \[\frac{1}{5}\] done
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B) \[\frac{2}{5}\] done
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C) \[\frac{3}{5}\] done
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D) \[\frac{4}{5}\] done
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question_answer9) A small child has a collection of shapes. She chooses one of the shapes at random. What is the possibility that it is a rectangle?
A) \[\frac{1}{2}\] done
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B) \[\frac{4}{13}\] done
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C) \[\frac{1}{4}\] done
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D) \[\frac{1}{6}\] done
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question_answer10) Alexander records the number of phone calls he receives over a period of consecutive days. What is the probability that on a particular day Alexander will receive 5 or more phone calls?
A) \[0.\overline{5}\] done
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B) \[0.\overline{4}\] done
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C) \[0.\overline{3}\] done
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D) \[0.\overline{2}\] done
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question_answer11) The dot plot alongside show how many times Ravindran went jogging in each of last 32 weeks. The possibility that next week Ravindaran will not go jogging.
A) 0.13 done
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B) 0.156 done
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C) 0.167 done
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D) 0.187 done
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question_answer12) This table shows how long Naidu slept each night recently. The probability that tonight he will sleep for between 5 and 7 hours.
Hours Slept  Frequency 
\[5\le h<6\]  10 
\[6\le h<7\]  12 
\[7\le h<8\]  42 
\[8\le h<9\]  36 
A) 0.248 done
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B) 0.224 done
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C) 0.213 done
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D) 0.220 done
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question_answer13) Jayesh does a lot of travelling in his car. So he records how often he fills his car with CNG. The table alongside shows the frequencies of the number of days between refills. The possibility that between there is a gap of at least 5 days?
Day between refills  Frequency 
1  36 
2  80 
3  41 
4  17 
5  15 
6  11 
A) 0.08 done
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B) 0.18 done
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C) 0.108 done
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D) 0.082 done
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question_answer14) Robert recorded the length of TV commercial in seconds. His results are summarized in the table. The possibility that a randomly chosen TV commercial will show between 20 seconds and a minute.
Length  Frequency 
\[0\le t<20\]  17 
\[20\le t<40\]  38 
\[40\le t<60\]  19 
\[t\ge 60\]  4 
A) 0.137 done
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B) 0.317 done
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C) 0.731 done
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D) 0.371 done
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question_answer15) The speed of vehicles 200 travelling along a section of highway were recorded and displayed frequently alongside. What is the possibility that the vehicles were travelling at a speed between 60 kmph and 100 kmph?
A) \[\frac{2}{7}\] done
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B) \[\frac{3}{7}\] done
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C) \[\frac{11}{14}\] done
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D) \[\frac{1}{7}\] done
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question_answer16) A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers. 1, 2, 3, _ _ _ _ ,12 as shown alongside and these are equally outcomes what is the probability that it will point a perfect square?
A) \[\frac{1}{3}\] done
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B) \[\frac{1}{4}\] done
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C) \[\frac{1}{5}\] done
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D) \[\frac{1}{6}\] done
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question_answer17) To know the opinion of the students about the subject probability a survey of 500 students also was recorded in the following data. What is the possibilities that a student chosen at random has no opinion?
Opinion  Number of students 
Like  145 
Dislike  230 
No opinion  125 
A) \[\frac{5}{9}\] done
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B) \[\frac{1}{4}\] done
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C) \[\frac{1}{3}\] done
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D) \[\frac{1}{2}\] done
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question_answer18) An organisation selected 2400 families at random and surveyed them to determine a relationship between cities and the number of vehicles in a family. The information collected is listed in the table below. What is the possibility that the family chosen in Delhi has at least 2 cars?
Cities  Vehicles per family 
0  1  2  3 
Delhi  0  160  25  0 
Mumbai  0  305  27  2 
Kolkata  1  535  29  1 
Chennai  2  469  59  25 
Bengaluru  1  579  82  88 
A) \[\frac{37}{480}\] done
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B) \[\frac{39}{240}\] done
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C) \[\frac{37}{120}\] done
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D) \[\frac{37}{140}\] done
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question_answer19) 1500 families with 2 children were selected randomly and the following data were recorded. What is the possibility of a family chosen at random having at least 1 girl.
Number of girls in a family  2  1  0 
Number of families  475  825  200 
A) \[\frac{11}{15}\] done
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B) \[\frac{11}{15}\] done
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C) \[\frac{2}{15}\] done
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D) \[\frac{13}{15}\] done
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question_answer20) A coloured cube is cut into 64 equal cubes as shown alongside. What is the probability that a cube selected randomly has one face painted?
A) \[\frac{9}{16}\] done
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B) \[\frac{3}{16}\] done
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C) \[\frac{3}{8}\] done
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D) \[\frac{2}{5}\] done
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question_answer21) A wheel with sectors numbered 1 to 24 is spin once as shown alongside. What is the possibility that the number is a composite number?
A) \[\frac{1}{2}\] done
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B) \[\frac{7}{12}\] done
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C) \[\frac{1}{4}\] done
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D) \[\frac{1}{6}\] done
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question_answer22) Different choices made by a group of 200 students are given below. On the basis of given data, what is the possibility that a randomly selected student who has neither taken science nor commerce?
Streams  No. of students 
Science  62 
Arts  58 
Commerce  58 
Home Science  12 
Other  10 
A) 0.33 done
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B) 0.51 done
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C) 0.42 done
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D) 0.40 done
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question_answer23) A summery was conducted on a group of students on their IQ score. The data recorded are given below. On the basis of given data the possibility of a student selected randomly whose IQ 100 and more is
IQ score  8090  90100  100110  110120  120130 
No. of students  6  9  16  13  4 
A) 0.6 done
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B) 0.5 done
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C) 0.8 done
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D) 0.9 done
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question_answer24) On the basis of date given alongside what is the possibility that a girl chosen randomly whose height is less than 150 cm?
Height (in cm)  Number of girls 
Less than 140  20 
Less than 145  11 
Less than 150  29 
Less than 155  40 
Less than 160  49 
Less than 165  51 
A) 0.3 done
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B) 0.33 done
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C) 0.4 done
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D) 0.44 done
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question_answer25) The following chart shows the number of students who failed in different subjects in an examination. What is the probability that a student chosen randomly failed in Mathematics?
A) 0.38 done
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B) 0.33 done
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C) 0.23 done
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D) 0.32 done
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question_answer26) A coloured cube is cut into 8 small equal cubes as show alongside. What is the possibility that a cube selected randomly has no face painted?
A) 1 done
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B) 0 done
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C) 0.33 done
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D) 0.22 done
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question_answer27) A pie chart given alongside shows the mode of transport uses by a man. On the basis of data given in pie chart, what is the possibility that a man chooses scooter as a mode of transport?
A) \[\frac{2}{5}\] done
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B) \[\frac{3}{5}\] done
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C) \[\frac{4}{5}\] done
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D) \[\frac{1}{5}\] done
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question_answer28) The marks obtained by 273 examiners shown by the frequency polygon given below. The possibility of a student selected randomly gets more than 80% marks is
A) 0.123 done
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B) 0.112 done
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C) 0.113 done
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D) 0.117 done
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question_answer29) The line graph given below represents the number of employees recruited in different years in a company. The probability of a employee selected randomly in 2011 is
A) 0.230 done
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B) 0.235 done
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C) 0.245 done
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D) 0.225 done
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question_answer30) On the basis a bar graph given alongside what is the possibility that a randomly selected family has 4 or more family members?
A) \[0.\overline{3}\] done
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B) \[0.\overline{6}\] done
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C) \[0.\overline{4}\] done
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D) \[0.\overline{9}\] done
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question_answer31) The subdivided bar diagram given below depicts the result of class 10 students of a school for three years. On the basis of given data what is the possibility that a student selected in 2001 passed with first class?
A) \[\frac{1}{4}\] done
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B) \[\frac{1}{3}\] done
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C) \[\frac{1}{5}\] done
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D) \[\frac{1}{2}\] done
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question_answer32) The pie chart given below represents the percentage of people in various occupations. On the basis of data given in the Piechart. What is the possibility that a person selected randomly chooses agriculture as a occupation?
A) \[\frac{1}{8}\] done
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B) \[\frac{3}{8}\] done
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C) \[\frac{5}{8}\] done
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D) \[\frac{7}{8}\] done
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question_answer33) A coloured cube as shown alongside cut into 27 small cubes. What is the probability that a cube selected randomly have at least two faces painted?
A) \[\frac{12}{27}\] done
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B) \[\frac{8}{27}\] done
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C) \[\frac{1}{9}\] done
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D) \[\frac{20}{27}\] done
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question_answer34) Three unbiased coins are tossed. What is the probability of getting at least 2 heads?
A) \[\frac{1}{4}\] done
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B) \[\frac{1}{2}\] done
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C) \[\frac{1}{3}\] done
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D) \[\frac{1}{8}\] done
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question_answer35) In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?
A) \[\frac{1}{4}\] done
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B) \[\frac{1}{6}\] done
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C) \[\frac{7}{12}\] done
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D) \[\frac{5}{36}\] done
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question_answer36) Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is composite?
A) \[\frac{1}{3}\] done
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B) \[\frac{1}{4}\] done
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C) \[\frac{3}{8}\] done
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D) \[\frac{29}{36}\] done
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question_answer37) A die is rolled 100 times and the data is recorded as given in the table
Outcomes  1  2  3  4  5  6 
Frequency  22  13  20  10  25  10 
Which of the following is the probability of getting an odd number in a trial?
A) \[\frac{11}{50}\] done
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B) \[\frac{1}{5}\] done
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C) \[\frac{67}{100}\] done
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D) \[\frac{1}{4}\] done
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question_answer38) In a lottery, there are 10 prizes and 45 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A) \[\frac{1}{10}\] done
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B) \[\frac{2}{5}\] done
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C) \[\frac{2}{11}\] done
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D) \[\frac{5}{7}\] done
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question_answer39) A card is drawn from a pack of 52 cards. What is the probability that the card drawn is a face card?
A) \[\frac{1}{13}\] done
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B) \[\frac{2}{13}\] done
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C) \[\frac{3}{13}\] done
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D) \[\frac{1}{52}\] done
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question_answer40) Card is drawn at random from a pocket of 200 cards numbered 1 to 200. The probability of drawing a number which is a cube is
A) 1/100 done
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B) 2/100 done
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C) 1/40 done
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D) 3/10 done
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