Banking Quantitative Aptitude Probability Question Bank

done Probability (I) Total Questions - 20

• question_answer1)

  Study the given information carefully to answer the questions that follow. An um contains 4 green 5 blue 2 red and 3 yellow marbles.

  If four marbles are drawn at random , what is the probability that two are blue and two are red?

  A)
   \[\frac{10}{1001}\] done clear
  B)
   \[\frac{9}{14}\] done clear
  C)
   \[\frac{17}{364}\]         done clear
  D)
   \[\frac{2}{7}\] done clear
  E)
   None of these done clear
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• question_answer2)

  Study the given information carefully to answer the questions that follow. An um contains 4 green 5 blue 2 red and 3 yellow marbles.

  If four marbles are drawn at random , what is the probability that there are equal number of marbles of each colour?

  A)
   \[\frac{4}{7}\] done clear
  B)
   \[\frac{361}{728}\] done clear
  C)
   \[\frac{60}{1001}\] done clear
  D)
   \[\frac{1}{1}\] done clear
  E)
   None of these done clear
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• question_answer3)

  Study the given information carefully to answer the questions that follow. An um contains 4 green 5 blue 2 red and 3 yellow marbles.

  If two marbles are drawn at random what is the probability that both are red or at least one is red?

  A)
   \[\frac{26}{91}\] done clear
  B)
   \[\frac{1}{7}\] done clear
  C)
   \[\frac{199}{364}\]       done clear
  D)
   \[\frac{133}{191}\] done clear
  E)
   None of these done clear
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• question_answer4)

  Study the given information carefully to answer the questions that follow. An um contains 4 green 5 blue 2 red and 3 yellow marbles.

  If three marbles are drawn at random, what is the probability that at least one is yellow?

  A)
   \[\frac{1}{3}\] done clear
  B)
   \[\frac{199}{364}\] done clear
  C)
   \[\frac{165}{364}\]       done clear
  D)
   \[\frac{3}{11}\] done clear
  E)
   None of these done clear
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• question_answer5)

  Study the given information carefully to answer the questions that follow. An um contains 4 green 5 blue 2 red and 3 yellow marbles.

  If three marbles are drawn at random, what is the probability that none is green?

  A)
   \[\frac{2}{7}\] done clear
  B)
   \[\frac{253}{728}\] done clear
  C)
   \[\frac{10}{21}\] done clear
  D)
   \[\frac{14}{91}\] done clear
  E)
   None of these done clear
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• question_answer6)
  A person teaches to three children. What is the probality that no one among them will be a girl.
  A)
   \[\frac{1}{2}\] done clear
  B)
   \[\frac{1}{16}\] done clear
  C)
   \[\frac{1}{3}\] done clear
  D)
   \[\frac{1}{8}\] done clear
  E)
   None of these done clear
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• question_answer7)
  The letter I, G, L, N & C are arranged to form the word CLING. What is the probability?
  A)
   \[\frac{1}{120}\] done clear
  B)
   \[\frac{1}{64}\] done clear
  C)
   \[\frac{1}{36}\] done clear
  D)
   \[\frac{3}{5}\] done clear
  E)
   None of these done clear
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• question_answer8)
  A bag contains 10 white balls and 16 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?
  A)
   \[\frac{18}{145}\]         done clear
  B)
   \[\frac{17}{29}\] done clear
  C)
   \[\frac{35}{134}\] done clear
  D)
   \[\frac{37}{145}\] done clear
  E)
   None of these done clear
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• question_answer9)
  Four boys and three girls sit in a row for interview. The probability that they will sit in alternate position is-
  A)
   \[\frac{1}{23}\] done clear
  B)
   \[\frac{1}{35}\] done clear
  C)
   \[\frac{1}{15}\] done clear
  D)
   \[\frac{1}{65}\] done clear
  E)
   \[\frac{1}{34}\] done clear
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• question_answer10)
  What is the probability that number selected from number 1, 2, 3......100 is a prime number, when each number is equally likely to be related?
  A)
   \[\frac{9}{30}\] done clear
  B)
   \[\frac{8}{35}\] done clear
  C)
   \[\frac{11}{30}\] done clear
  D)
   \[\frac{1}{4}\] done clear
  E)
   \[\frac{10}{30}\] done clear
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• question_answer11)
  A bag contains  6 black, 5 white and 8 yellow balls. If four balls are picked at random, what is the probability that all four of them are either black or any two out of the four are white?
  A)
   \[\frac{3}{1292}\] done clear
  B)
   \[\frac{925}{3876}\] done clear
  C)
   \[\frac{359}{1927}\] done clear
  D)
   \[\frac{11}{387}\] done clear
  E)
   None of these done clear
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• question_answer12)
  Ramesh play 3 sets of a badminton match. The probability of his winning the three sets are \[\frac{1}{7},\frac{1}{5},\frac{3}{4}\] a respectively. What is probability that he will win atleast 1 set of the game?
  A)
   \[\frac{1}{24}\] done clear
  B)
   \[\frac{7}{24}\] done clear
  C)
   \[\frac{13}{24}\] done clear
  D)
   \[\frac{23}{24}\] done clear
  E)
   None of these done clear
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• question_answer13)
  What is probability of a head and even number when a coin is tossed and a dice is thrown?
  A)
   \[\frac{1}{2}\] done clear
  B)
   \[\frac{1}{3}\] done clear
  C)
   \[\frac{1}{4}\] done clear
  D)
   \[\frac{1}{5}\] done clear
  E)
   None of these done clear
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• question_answer14)
  What is probability of getting a sum greater than 15 if three dice are rolled simultaneously?
  A)
  5/54 done clear
  B)
   15/216 done clear
  C)
   11/216 done clear
  D)
   17/216 done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer15)
  The probability of success of A, B, C in an interview is 1/5, 1/4, 1/3 respectively. Find the probability of success of at least two?
  A)
  1/6 done clear
  B)
   3/5 done clear
  C)
   3/4 done clear
  D)
   2/5 done clear
  E)
   None of these done clear
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• question_answer16)
  Two team x and y are participating in quiz contest. The probability that team x will win is 5/8 and the probability that team y will win is 1/5. What is the probability that either team x or team y will win the contest?
  A)
  3/5 done clear
  B)
   5/7 done clear
  C)
   6/7 done clear
  D)
   33/40 done clear
  E)
   21/30 done clear
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• question_answer17)
  A 5 digit number is formed by the digits 1, 2, 3, 4 and 5 without repitition. What is the probability that the number formed is a multiple of 4?
  A)
  1/2 done clear
  B)
   1/3 done clear
  C)
   1/4 done clear
  D)
   1/5 done clear
  E)
   1/6 done clear
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• question_answer18)
  Two unbiased coins are tossed. What is the probability of getting at most one tail?
  A)
  1/2 done clear
  B)
   1/3 done clear
  C)
   2/3 done clear
  D)
   3/4 done clear
  E)
   1/4 done clear
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• question_answer19)
  Three unbiased coins are tossed, What is the probability of getting at least 2 tail?
  A)
  1/2 done clear
  B)
   1/3 done clear
  C)
   1/6 done clear
  D)
   1/8 done clear
  E)
   1/10 done clear
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• question_answer20)

  There are 3 bags containing 3 colored balls - Red, Green and Yellow. Bag 1 contains: 24 green balls. Red balls are 4 more than yellow balls. Probability of selecting 1 red ball is 4/13.          Bag 2 contains: Total balls are 8 more than 7/13 of balls in bag 1. Probability of selecting 1 red ball is 1/3. The ratio of green balls to yellow balls is \[1:2\] Bag 3 contains: Red balls is equal to total number of green and yellow balls in bag 2. Green balls is equal to total number of green and red balls in bag 2. Probability of selecting 1 yellow ball is 3/14.

  1 ball each is chosen from bag 1 and bag 2, What is the probability that 1 is red and other is yellow?

  A)
  15/128 done clear
  B)
   21/115 done clear
  C)
   17/135 done clear
  D)
   25/117 done clear
  E)
   16/109 done clear
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