• 1.
      A and B are two events S.t P(A)≠ 𝟎 𝒂𝒏𝒅 𝒕𝒉𝒆𝒏 𝑷(𝑩/𝑨)=𝟏 then

  • 𝑨⊂𝑩
  • 𝑩⊂𝑨
  • B=0
  • A=0

  • 2.
      If A and B are any two events S.t P(A)+P(B)-P(A and B)= P(A) then

  • P(B/A)=1
  • P(A/B)=1
  • P(B/A)=0
  • P(A/B)=0

  • 3.
      If A and B are two events S.t A⊂𝑩 𝒂𝒏𝒅 𝑷( 𝑩 ) ≠ 𝟎 , then which is correct.

  • P (A/B) = P(B) / P(A)
  • P (A/B) < P(A)
  • P (A/B) ≥ P(A)
  • None

  • 4.
      P (A) = 3/5 P (B) = 1/3 find (i) P (A or B), if A, B are mutually exclusive (ii) P (A and B) if A and B are independent events.

  • 14 / 15 ; 1 / 5
  • 13 / 15 ; 2 / 5
  • 12 / 15 ; 3 / 5
  • 11 / 15 ; 4 / 5

  • 5.
      Two events A and B will be independent, if

  • A and B are mutually exclusive
  • P (A’B’)= [1-P (A) ][1-P(B)]
  • P(A)=P(B)
  • P(A)+P(B)=1

  • 6.
      A charted accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7, and being rejected at Y is 0.5 and the probability of at least one of his application being rejected is 0.6. Now the probability that he will be selected in at least one of the firm is.

  • 0.6
  • 0.7
  • 0.5
  • 0.8

  • 7.
      Probabilities of solving a specific problem independently by A and B are ½ and 1/3 respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem

  • 2 / 3 ; 1 / 2
  • 1 / 3 ; 2 / 3
  • 1 / 3 ; 1 / 2
  • None

  • 8.
      In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspaper. A student is selected at random (a) Find the probability that she read neither Hindi nor English newspaper. (b) If she reads Hindi newspaper, find the probability that she read English newspaper. (c) If she reads English newspaper, find the probability that she reads Hindi newspaper.

  • 1 / 5 ; 1 / 3 ; 1 / 2
  • 1 / 3 ; 1 / 5 ; 1 / 2
  • ½ / 1 / 3 ; 1 / 5
  • None

  • 9.
      There are three urns A, B and C. Urn A contains 4 white balls and 5 blue balls Urn B contains 3 white balls and 4 blue balls. Urn C contains 3 white balls and 6 blue balls. One ball is drawn from each of these urns. What is the probability that out of these three balls drawn, two are white balls and one is a blue ball?

  • 55 / 187
  • 54 / 187
  • 55 / 189
  • 54 / 189

  • 10.
      A and B toss a coin alternatively till one of them gets a head and wins the game If A starts the game, find the probability of his winning at his third toss.

  • 4 / 32
  • 3 / 32
  • 2 / 32
  • 1 / 32

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