
Study Case : Q. 1 to 5 
In a club, men are playing the card game. A man named Sanjeev draw a card from a well shuffled deck of cards. 

Based on the above information, give the answer of the following questions: 
Find the probability of getting a king of black colour:
A)
\[\frac{1}{26}\] done
clear
B)
\[\frac{1}{12}\] done
clear
C)
\[\frac{1}{52}\] done
clear
D)
\[\frac{1}{4}\] done
clear
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Find the probability of getting a face card:
A)
\[\frac{1}{26}\] done
clear
B)
\[\frac{1}{13}\] done
clear
C)
\[\frac{2}{13}\] done
clear
D)
\[\frac{3}{13}\] done
clear
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Find the probability of getting a jack of clubs.
A)
\[\frac{1}{26}\] done
clear
B)
\[\frac{1}{52}\] done
clear
C)
\[\frac{3}{52}\] done
clear
D)
\[\frac{3}{26}\] done
clear
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Find the probability of getting a black face card:
A)
\[\frac{3}{13}\] done
clear
B)
\[\frac{1}{13}\] done
clear
C)
\[\frac{1}{52}\] done
clear
D)
\[\frac{3}{26}\] done
clear
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Find the probability of getting a diamond:
A)
\[\frac{1}{26}\] done
clear
B)
\[\frac{1}{13}\] done
clear
C)
\[\frac{1}{52}\] done
clear
D)
\[\frac{1}{4}\] done
clear
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Study Case : Q. 6 to 10 
An unbiased game to chance as shown below consists of spinning the wheel on which different areas have been marked with different fruits such as apple, grapes, mange and orange denoted by the alphabets A, G, M and O on the wheel respectively. Numbers have been marked or different parts and each of theese is equally likely, the prize depends on the number at which the arrow points once the wheel comes to a rest. 

Based on the given information, give the answer of the following questions: 
The probability that the arrow will point at a prime number is:
A)
0 done
clear
B)
\[\frac{3}{10}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{3}{5}\] done
clear
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The probability that the arrow will point a perfect square number is:
A)
\[\frac{2}{5}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{7}{10}\] done
clear
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The probability of arrow pointing towards grapes 'G' is:
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{3}{10}\] done
clear
C)
\[\frac{2}{5}\] done
clear
D)
\[\frac{1}{10}\] done
clear
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The probability of arrow pointing towards a number divisible by 4 is:
A)
\[0\] done
clear
B)
\[\frac{3}{10}\] done
clear
C)
\[\frac{3}{4}\] done
clear
D)
\[\frac{2}{5}\] done
clear
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The probability of arrow pointing towards Banana B is:
A)
0 done
clear
B)
1 done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{2}{5}\] done
clear
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Study Case : Q. 11 to 15 
Shivam sees a game in a fair. He is keenly interested to play it. He asks the rules of game from the owner. Owner says that you will move this spinner first, if it stops on a prime number, then you are allowed to pick a marble from a bag and bag has only white and black marbles. Prizes are given when a white marble is picked randomly. 

Based on the above information, answer the following questions: 
What is the probability that Shivam will not be allowed to pick a marble from the bag?
A)
\[\frac{3}{8}\] done
clear
B)
\[\frac{5}{8}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
1 done
clear
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What is the probability that Shivam will be allowed to pick a marble from a bag?
A)
\[\frac{3}{8}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[\frac{5}{8}\] done
clear
D)
\[\frac{3}{7}\] done
clear
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The probability that Shivam will pick a black marble from the bag is:
A)
\[\frac{7}{12}\] done
clear
B)
\[\frac{5}{12}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{2}{3}\] done
clear
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The probability that Shivam will get a prize is:
A)
\[\frac{3}{5}\] done
clear
B)
\[\frac{3}{4}\] done
clear
C)
\[\frac{5}{12}\] done
clear
D)
\[\frac{7}{12}\] done
clear
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The probability that Shivam will pick a red marble from the bag is:
A)
1 done
clear
B)
0 done
clear
C)
\[\frac{5}{12}\] done
clear
D)
\[\frac{7}{12}\] done
clear
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Study Case : Q. 16 to 20 
In the month of May, the weather forecast department gives the prediction of weather for the month of June. The given table shows the probabilities of forecast of different days: 

Days  Sunny  Cloudy  Partially cloudy  Rainy  Probability  \[\frac{1}{2}\]  X  \[\frac{1}{5}\]  y  If the forecast is \[\text{1}00%\] correct for June, then answer the following questions: 
The number of sunny days in June is:
A)
5 done
clear
B)
10 done
clear
C)
15 done
clear
D)
20 done
clear
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If the number of cloudy days in June is 5, then x =
A)
\[\frac{1}{4}\] done
clear
B)
\[\frac{1}{6}\] done
clear
C)
\[\frac{1}{8}\] done
clear
D)
\[\frac{1}{10}\] done
clear
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The probability that the day is not rainy is:
A)
\[\frac{13}{15}\] done
clear
B)
\[\frac{11}{15}\] done
clear
C)
\[\frac{1}{15}\] done
clear
D)
None of these done
clear
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If the sum of x and y is \[\frac{3}{10},\] then the number of rainy days in June is:
A)
1 done
clear
B)
2 done
clear
C)
3 done
clear
D)
4 done
clear
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Find the number of partially cloudy days:
A)
2 done
clear
B)
4 done
clear
C)
6 done
clear
D)
8 done
clear
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Study Case : Q. 21 to 25 
A man is sitting on a helicopter which is positioned in such a way that the entire garden is visible to him. The garden is rectangular in shape with a pond of diameter 2 m as shown in the figure. There is a semicircular concrete patio at one end and two flower beds at the other two comers as shown. The remaining area has beautiful lush green grass. The man drops a ball from the helicopter. 

Based on the above information, answer the follows questions: 
The probability that the ball dropped will fall in one of the flower beds is:
A)
\[\frac{11}{140}\] done
clear
B)
\[\frac{11}{280}\] done
clear
C)
0 done
clear
D)
1 done
clear
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The probability that the ball dropped will fall in the patio is:
A)
0 done
clear
B)
1 done
clear
C)
\[\frac{11}{224}\] done
clear
D)
\[\frac{55}{224}\] done
clear
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The probability that the ball dropped will not fall in pond, is:
A)
\[\frac{229}{240}\] done
clear
B)
0 done
clear
C)
\[\frac{11}{240}\] done
clear
D)
\[\frac{11}{120}\] done
clear
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The probability that the ball dropped will fall either in pond or in patio, is:
A)
\[\frac{55}{224}\] done
clear
B)
\[\frac{11}{280}\] done
clear
C)
\[\frac{363}{1120}\] done
clear
D)
1 done
clear
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The probability that the ball dropped will fall on the grass in the garden area.
A)
\[\frac{363}{1120}\] done
clear
B)
\[\frac{723}{1120}\] done
clear
C)
\[\frac{11}{280}\] done
clear
D)
\[\frac{229}{240}\] done
clear
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Study Case : Q. 26 to 30 
Sonny goes to a store to purchase juice cartons for his Shop. The store has 80 cartons of Litchi juice, 90 cartons of pineapple juice. 38 cartons of mango juice and 42 cartons of banana juice. If Sunny chooses a carton at random, then answer the following questions: 

The probability that the selected carton is of pineapple juice is:
A)
\[\frac{1}{25}\] done
clear
B)
\[\frac{8}{25}\] done
clear
C)
\[\frac{13}{25}\] done
clear
D)
\[\frac{9}{25}\] done
clear
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The probability that the selected carton is not of Litchi juice is:
A)
\[\frac{14}{25}\] done
clear
B)
\[\frac{11}{25}\] done
clear
C)
\[\frac{17}{25}\] done
clear
D)
\[\frac{4}{25}\] done
clear
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The probability of selecting a carton of banana juice is:
A)
\[\frac{51}{125}\] done
clear
B)
\[\frac{16}{125}\] done
clear
C)
0 done
clear
D)
\[\frac{21}{125}\] done
clear
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Sunny buys 4 cartons of pineapple juice, 3 cartons of Litchi juice and 3 cartons of banana juice. A customer comes to Sunny's shop and picks a tetrapack of juice at random. The probability that the customer picks a banana juice, if each carton has 10 tetrapacks of juice, is:
A)
\[\frac{1}{10}\] done
clear
B)
\[\frac{2}{10}\] done
clear
C)
\[\frac{3}{10}\] done
clear
D)
\[\frac{2}{5}\] done
clear
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If the storekeeper bought 14 more cartons of pineapple juice, then the probability of selecting a tetrapack of pineapple juice from the store is:
A)
\[\frac{25}{127}\] done
clear
B)
\[\frac{50}{127}\] done
clear
C)
\[\frac{75}{127}\] done
clear
D)
\[\frac{100}{127}\] done
clear
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Study Case : Q. 31 to 35 
Three persons toss 3 coins simultaneously and note the outcomes. Then, they ask few questions to one another. 
Help them in finding the answer of the following questions: 

The probability of getting almost one tail is:
A)
0 done
clear
B)
1 done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{1}{4}\] done
clear
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The probability of getting exactly 1 head is:
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{1}{8}\] done
clear
D)
\[\frac{3}{8}\] done
clear
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The probability of getting exactly 3 tails is:
A)
0 done
clear
B)
1 done
clear
C)
\[\frac{1}{4}\] done
clear
D)
\[\frac{1}{8}\] done
clear
View Solution play_arrow

The probability of getting at most 3 heads is:
A)
0 done
clear
B)
1 done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{1}{8}\] done
clear
View Solution play_arrow

The probability of getting at least two heads is:
A)
0 done
clear
B)
1 done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{1}{4}\] done
clear
View Solution play_arrow

Study Case : Q. 36 to 40 
Sanjeev is very found of collecting balls of different colours. He has a total of 25 balls in his basket out of which five balls are red in colour and eight are white. Out of the remaining balls, some are green in colour and the rest are pink: 

if the probability of drawing a pink ball is twice the probability of drawing a green ball, then the number of pink balls is:
A)
4 done
clear
B)
8 done
clear
C)
10 done
clear
D)
12 done
clear
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The probability of drawing a ball of colour other than green colour is:
A)
0 done
clear
B)
\[\frac{4}{25}\] done
clear
C)
\[\frac{21}{25}\] done
clear
D)
\[\frac{17}{25}\] done
clear
View Solution play_arrow

The probability of drawing either a green or white ball is:
A)
0 done
clear
B)
\[\frac{12}{25}\] done
clear
C)
\[\frac{13}{25}\] done
clear
D)
\[\frac{17}{25}\] done
clear
View Solution play_arrow

The probability of drawing neither a pink nor a white ball is:
A)
\[\frac{9}{25}\] done
clear
B)
\[\frac{12}{25}\] done
clear
C)
\[\frac{16}{25}\] done
clear
D)
\[\frac{17}{25}\] done
clear
View Solution play_arrow

The probability of not drawing a red ball is:
A)
\[\frac{1}{5}\] done
clear
B)
\[\frac{2}{5}\] done
clear
C)
\[\frac{3}{5}\] done
clear
D)
\[\frac{4}{5}\] done
clear
View Solution play_arrow