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Mathematics - Probability

Practise 25 KVPY previous year questions on Probability, compiled from papers spanning 2010 to 2020. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KVPY tests.

  1. 1Let A A denote the set of all 4 -digit natural numbers with no digit being 0 . Let B A consist of all numbers x such that no permutation of 2020 (SA)
  2. 2In a regular 15 - sided polygon with all its diagonals drawn, a diagonal is chosen at random. The probability that it is either a shortest d2020 (SB/SX)
  3. 3In medical diagnostics for a disease, sensitivity (denoted a) of a test refers to the probability that a test result is positive for a perso2020 (SB/SX)
  4. 4Ravi and Rashmi are each holding 2 red cards and 2 black cards (all four red and all four black cards are identical). Ravi picks a card at r2019 (SB/SX)
  5. 5The probability of men getting a certain disease is 1 2 and that of women getting the same disease is 1 5 . The blood test that identifies t2018 (SB/SX)
  6. 6Suppose A is 3 3 matrix consisting of integer entries that are chosen at random from the set - 1000 , - 999 , 999 , 1000 . Let P be the prob2018 (SB/SX)
  7. 7Let be two distinct integers chosen randomly from the set . Then the probability that is divisible by 5 lies in the interval19 Nov, 2017 (SB/SX)
  8. 8Suppose four balls labelled are randomly placed in boxes . The probability that exactly one box is empty is19 Nov, 2017 (SB/SX)
  9. 9A pair of 12-sided fair dice with faces numbered is rolled. The probability that the sum of the numbers appearing has remainder 2 when divid19 Nov, 2017 (SB/SX)
  10. 10If a fair coin is tossed 5 times, the probability that heads does not occur two or more times in a row is05 Nov, 2017 (SB/SX)
  11. 11A shooter can hit a given target with probability . She keeps firing a bullet at the target until she hits it successfully three times and t05 Nov, 2017 (SB/SX)
  12. 12Consider the following events; Six fair dice are rolled and at least one die shows six. : Twelve fair dice are rolled and at least two dice 05 Nov, 2017 (SB/SX)
  13. 13If a 3-digit number is randomly chosen, what is the probability that either the number itself or some permutation of the number (which is a 2016 (SA)
  14. 14A box contains b blue balls and red balls. A ball is drawn randomly from the box and is returned to the box with another ball of the same co2016 (SB/SX)
  15. 15There are 6 boxes labeled . In each trial, two fair dice are known. If shows and shows , then balls are put into the box . After trials, wha2015 (SB/SX)
  16. 16An urn contains marbles of four colours: red, white, blue and green. When four marbles are drawn without replacement, the following events a2015 (SB/SX)
  17. 17Two persons and throw a (fair) die (six-faced cube with faces numbered from 1 to 6 ) alternately, starting with . The first person to get an2014 (SB/SX)
  18. 18Choose a number n uniformly at random from the set . Choose one of the first seven days of the year 2014 at random and consider n consencuti2014 (SB/SX)
  19. 19A box contains coupons labeled ....n. A coupon is picked at random and the number is noted. The coupon is put back into the box and a new co2013 (SB/SX)
  20. 20A box contains coupons labelled . Five coupons are picked at random one after another without replacement. Let the numbers on the coupons be2013 (SB/SX)
  21. 21A man tosses a coin 10 times, scoring 1 point for each head and 2 points for each tail. Let be the probability of scoring at least points. T2012 (SB/SX)
  22. 22A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly an2012 (SB/SX)
  23. 23Let denote the sum of the first positive integers. The numbers are written on 99 cards. The probability of drawing a card with an even numbe2012 (SB/SX)
  24. 24Two players play the following game : writes on three different cards ; writes on three different cards. Both draw randomly two cards from t2011 (SB/SX)
  25. 25Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they form the vertices of an i2010 (SB/SX)

Frequently Asked Questions

1.How many questions are available for Probability?

This chapter includes 25 questions compiled from KVPY papers spanning 2010 to 2020.

2.Are these questions only from KVPY, or from other exams too?

These are KVPY questions specifically for the Probability chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Probability an important chapter for KVPY Mathematics?

Probability has appeared in 11 of the 11 years of KVPY papers covered here, with 25 questions across 14 papers - about 2 per paper it appears in.