CBSE  /  Class 11  /  Maths  /  Probability

  • 1. 
    Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

  • 2/9
  • 1/9
  • 8/9
  • 7/9

  • 2. 
    A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that both the socks are of the same colour is

  • 9/20
  • 2/9
  • 3/20
  • 4/9

  • 3. 
    When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 heads will occur is

  • 247/265
  • 73/256
  • 247/256
  • 27/256

  • 4. 
    A couple has two children. The probability that both children are females if it is known that the elder child is a female is

  • 0
  • 1
  • 1/2
  • 1/3

  • 5. 
    A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year

  • e-1/2/2
  • e--1/2/4
  • e-1/2/8
  • none of these

  • 6. 
    A random variable X has poison distribution with mean 2. Then, P (X > 1.5) equals

  • 1 – 3/e²
  • 2/e²
  • 3/e²
  • 0

  • 7. 
    Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B ̅) = 0.6 then P(A∪B) is

  • 0
  • 1
  • 0.6
  • 0.9

  • 8. 
    The probability of getting 53 Sundays in a leap year is

  • 1/7
  • 2/7
  • 3/7
  • None of these

  • 9. 
    The probability of getting the number 6 at least once in a regular die if it can roll it 6 times?

  • 1 – (5/6)6
  • 1 – (1/6)6
  • (5/6)6
  • (1/6)6

  • 10. 
    On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is

  • 1/2
  • 1/6
  • 1/10
  • 1/12
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