Introduction To Probability Theory Three Marks Questions

11th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    10 x 3 = 30
  1. An integer is chosen at random from the first ten positive integers. Find the probability that it is
    (i) an even number (ii) multiple of three

  2. A die is rolled. If it shows an odd number, then find the probability of getting 5.

  3. Suppose a fair die is rolled. Find the probability of getting
    (i) an even number (ii) multiple of three

  4. If A and B are two events associated with a random experiment for which
    P(A) = 0.35, P(A or B) = 0.85, and P(A and B) = 0.15.
    Find (i) P(only B)
    (ii) P(B)
    (iii) P(only A)

  5. A die is thrown twice. Let A be the event, ‘First die shows 5’ and B be the event 'second die shows 5’. Find \(P(A\cup B)\) .

  6. Two unbiased die are thrown. Find the probability that the sum is 8 or greater if 3 appears on the first die.

  7. One card is drawn from a well shuffled pack of 52 cards. If E is the event, "the card drawn is a king or queen" and F is the event "the card drawn is a queen or an ace", then find P(E/F).

  8. The probability that a person will get an electric contract  \(\frac { 2 }{ 3 } \) and the probability that he will not get plumbing contract is \(\frac { 4 }{ 7 } \). If the probability of getting atleast one contract is \(\frac { 2 }{ 3 } \). What is the probability tht he will get both? 

  9. A fair dice is rolled. Consider the following events A = {1, 3, 5}, B = {2, 3} and C ={2, 3, 4, 5} Find (i) P(A/B) and P(B/A) (ii) P(A\(\cap \)B/C)

  10. A and B are two events such that P(A) \(\neq \) 0. Find P(B/A) if (i) A is a subset of B (ii) A\(\cap \)B = \(\phi \)

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