Home
Class 12
MATHS
x(1) , x(2) , x(3)… . x(50) are fifty re...

`x_(1) , x_(2) , x_(3)`… . `x_(50)` are fifty real numbers such that `x_(r) lt x_(r + 1)` for r = 1 ,2 , 3 …….. , 49 . Five numbers out of these are picked up at random . The probability that the five numbers have `x_(20)` as the middle number is :

A

`(""^(20) C _(2) xx ""^(30) C _(2))/(""^(50) C _(5))`

B

`(""^(30)C _(2)xx ""^(19) C_(2))/( ""^(50)C _(5))`

C

`( ""^(19) C _(2) xx ""^(31) C _(2))/(""^(50) C _(5))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    BITSAT GUIDE|Exercise BITSET ARCHIVES|16 Videos
  • PERMUTATIONS AND COMBINATIONS

    BITSAT GUIDE|Exercise BITSAT Archives|13 Videos
  • QUADRATIC EQUATION

    BITSAT GUIDE|Exercise BITSET ARCHIVES |16 Videos

Similar Questions

Explore conceptually related problems

If x_(1),x_(2),x_(3),x_(4),x_(5) are five consecutive odd numbers then their average is

If x is a real number and |x| lt 3 , then

If x_(1),x_(2),x_(3) and x_(4) are positive real numbers such that x_(1)x_(2)x_(3)x_(4)=1, then the least value of (1+x_(1))(1+x_(2))(1+x_(3))(1+x_(4)) is

If a number x is chosen at random from the numbers -2,-1,0,1,2. What is the probability that x^(2)<2?

A number x is chosen from the numbers -3.2 .-1,0,1,2. Find the probability that x^(2)<=4

If a number x is chosen at random from the number -2, -1, 0, 1, 2. What is the probability that x^(2)lt2 ?

If a is real number such that 0 lt alt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

A number x is chosen at random from the set S = (1, 2, 3,....,100).Then the probability that the expression sqrt((x-15)/((x-10)(x-20))) is a positive real number is

Statement-1 : Three natural number are taken at random from the set A={x:1 lt x lt= 100, x in N} the probability that the A.M of the numbers taken is 25 is equal to (""^74C_2)/(""^100C_3) . Statement-2 : Let A = {2, 3, 4 …. 20}. A number is chosen at random from set A and it is bound to be a prime number. The probability that it is more than 10 is 1/5 . Statement-3 : The probability of three person having the same date month for the birthday is 1/((365)^2) .

For real numbers x andy, define x R y if x - y + sqrt(2) is an irrational number. Then the relation R is

BITSAT GUIDE-PROBABILITY -BITSET ARCHIVES
  1. x(1) , x(2) , x(3)… . x(50) are fifty real numbers such that x(r) lt x...

    Text Solution

    |

  2. 5 persons A, B, C, D and E are in a queue of a shop. The probability t...

    Text Solution

    |

  3. The probability of simultaneous occurrence of at least one of two e...

    Text Solution

    |

  4. If A and B are two events such that P(A)=0.6, P(B) =0.2 and P((A)/(B))...

    Text Solution

    |

  5. A bag contains 3 white and 5 black balls. One ball is drawn at random....

    Text Solution

    |

  6. For any two events A and B if P (A uu B) = 5//6, P (A nn B) = 1//3, P...

    Text Solution

    |

  7. If (1+3p)/(3), (1)/(4) and (1-2p)/(2) are probabilities of mutually ex...

    Text Solution

    |

  8. If A and B are two events such that P(A) = 3/4 and P(B) = 5/8, then

    Text Solution

    |

  9. A die is tossed twice. The prbability of having a number greater than ...

    Text Solution

    |

  10. The probability that a leap year selected at random will contain eithe...

    Text Solution

    |

  11. The unbiased dice is tossed until a number greater than 4 appear. W...

    Text Solution

    |

  12. If mean and variance of a Binomial variate X are 2 and 1 respectively,...

    Text Solution

    |

  13. If A and B are independent events of a random experiment such that P(A...

    Text Solution

    |

  14. For k=1,2,3 the box Bk contains k red balls and (k+1) white balls. Let...

    Text Solution

    |

  15. The probility that the same number appear on throwing three dice simu...

    Text Solution

    |

  16. A coin is tossed n times. The probability of getting head at least onc...

    Text Solution

    |

  17. Let A and B be two events and P (A') = 0.3, P (B) = 0.4, P ( A nn B') ...

    Text Solution

    |