9th Class Mathematics Probability Question Bank

done Probability Total Questions - 10

• question_answer1)
  What is the probability of getting a sum 9 from two throws of a dice?
  A)
  \[\frac{1}{6}\]       done clear
  B)
                                 \[\frac{1}{8}\] done clear
  C)
   \[\frac{1}{9}\]           done clear
  D)
         \[\frac{1}{12}\] done clear
  E)
  None of these done clear
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• question_answer2)
  Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
  A)
  \[\frac{1}{2}\]                            done clear
  B)
  \[\frac{3}{4}\]  done clear
  C)
  \[\frac{3}{8}\]                                       done clear
  D)
  \[\frac{5}{16}\] done clear
  E)
  None of these done clear
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• question_answer3)
  A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
  A)
  \[\frac{1}{22}\]                      done clear
  B)
        \[\frac{3}{22}\] done clear
  C)
  \[\frac{2}{91}\]   done clear
  D)
         \[\frac{3}{77}\] done clear
  E)
  None of these done clear
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• question_answer4)
  A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
  A)
  \[\frac{10}{21}\]        done clear
  B)
         \[\frac{11}{21}\] done clear
  C)
  \[\frac{2}{7}\]                         done clear
  D)
         \[\frac{5}{7}\] done clear
  E)
  None of these done clear
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• question_answer5)
  In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
  A)
  \[\frac{2}{3}\]                        done clear
  B)
         \[\frac{3}{4}\] done clear
  C)
  \[\frac{7}{19}\]                      done clear
  D)
         \[\frac{8}{21}\] done clear
  E)
  None of these done clear
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• question_answer6)
  In a class, 30% of the students offered English. 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi?
  A)
  \[\frac{2}{5}\]                  done clear
  B)
          \[\frac{3}{4}\] done clear
  C)
  \[\frac{3}{5}\]                         done clear
  D)
        \[\frac{3}{10}\] done clear
  E)
  None of these done clear
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• question_answer7)
  A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected?
  A)
  \[\frac{4}{5}\]                        done clear
  B)
        \[\frac{2}{7}\] done clear
  C)
  \[\frac{8}{15}\]                      done clear
  D)
         \[\frac{4}{7}\] done clear
  E)
  None of these done clear
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• question_answer8)

  Direction: for question number 14 ? 17. If A and B be two mutually exclusive events in a sample space such that. \[\operatorname{P}(A)\,=\frac{2}{5}\]and \[\operatorname{P}(B)\,=\frac{1}{2}\] then

  Find \[\operatorname{P}\left( A\,\cup B \right)\]:
  A)
  \[\frac{7}{16}\]                          done clear
  B)
  \[\frac{9}{16}\] done clear
  C)
  \[\frac{9}{10}\]         done clear
  D)
         \[\frac{1}{2}\] done clear
  E)
  None of these done clear
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• question_answer9)

  Direction: for question number 14 ? 17. If A and B be two mutually exclusive events in a sample space such that. \[\operatorname{P}(A)\,=\frac{2}{5}\]and \[\operatorname{P}(B)\,=\frac{1}{2}\] then

  Find \[\operatorname{P}\left( \overline{A}\cap \overline{B} \right)\]:
  A)
  \[\frac{4}{5}\]                        done clear
  B)
         \[\frac{1}{10}\] done clear
  C)
  \[\frac{8}{9}\]                        done clear
  D)
         \[\frac{13}{20}\] done clear
  E)
  None of these done clear
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• question_answer10)

  Direction: for question number 14 ? 17. If A and B be two mutually exclusive events in a sample space such that. \[\operatorname{P}(A)\,=\frac{2}{5}\]and \[\operatorname{P}(B)\,=\frac{1}{2}\] then

  Find  \[\operatorname{P}\left( \overline{A}\cap B \right)\]:
  A)
  \[\frac{1}{2}\]       done clear
  B)
         \[\frac{3}{5}\] done clear
  C)
  \[\frac{4}{7}\]                        done clear
  D)
         \[\frac{7}{15}\] done clear
  E)
  None of these done clear
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