JEE Questions for Maths Probability Quiz 3 - MCQExams.com

A coin is tossed n times. The probability of getting head atleast once is greater than 0.8, then the least value of n is
  • 2
  • 3
  • 5
  • 4
If the mean and standard deviation of a Binomial variable X are 4 and √3, respectively, the P(X ≥is equal to

  • Maths-Probability-44269.png
  • 2)
    Maths-Probability-44270.png

  • Maths-Probability-44271.png

  • Maths-Probability-44272.png
One hundred identical coins, each with probability p of showing heads are tossed once. If 0 < p < 1 and the probability of head showing on 50 coins is equal to that of head showing on 51 coins, the value of p is
  • 1/2
  • 51/101
  • 49/101
  • None of these
In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error, is
  • e-0.3
  • e-0.5
  • e-1
  • e-2
If f(x) = λe-ax 0 ≤ x < ∞ is a probability density, then λ is equal to
  • a
  • a2
  • 1/a
  • a3
If a random variable X has Poisson distribution with mean 2, then P(X > 1.equals
  • 3/e2
  • 1 - (3/e2)
  • 0
  • 2/e2
For a Binomial variate X with n = 6, if P(X == 9 and P(X = 4), then its variance is
  • 1/4
  • 8/9
  • 9/8
  • 4
If A and B each toss three coins. The probability that both get the same number of heads is
  • 1/9
  • 3/16
  • 5/16
  • 3/8
The probability of getting atleast one tail in 4 throws of a coin is
  • 15/16
  • 1/16
  • 1/4
  • None of these
Five persons A, B, C, D and E are in queue of a shop. The probability that A and E are always together, is
  • 1/4
  • 2/3
  • 2/5
  • 3/5
Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is
  • 1/9
  • 1/18
  • 1/36
  • 1/12
If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is
  • 5/36
  • 1/6
  • 5/18
  • 7/18
  • None of these
A fair six - faced die is rolled 12 times. The probability that each face turns up twice is equal to

  • Maths-Probability-44277.png
  • 2)
    Maths-Probability-44278.png

  • Maths-Probability-44279.png

  • Maths-Probability-44280.png
A poker hand consists of 5 cards drawn at random from a well - shuffled pack of 52 cards. Then, the probability that a poker hand consists of a pair and a triple of equal face values (e.g. 2 sevens and 3 kings or 2 aces and 3 queens, etc.) is

  • Maths-Probability-44282.png
  • 2)
    Maths-Probability-44283.png

  • Maths-Probability-44284.png

  • Maths-Probability-44285.png
A six - faced unbiased die is thrown twice and the sum of the numbers appearing on the upper face is observed to be 7. The probability that the number 3 has appeared atleast once, is
  • 1/5
  • 1/2
  • 1/3
  • 1/4
There are 7 horses in a race, Mr X selected 2 horses at random and bet on them. The probability that Mr X selected the winning horse is
  • 1/7
  • 4/7
  • 3/7
  • 2/7
If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9, is

  • Maths-Probability-44289.png
  • 2)
    Maths-Probability-44290.png

  • Maths-Probability-44291.png
  • None of these
Four fair dice D1, D2, D3 and D4 each having six faces numbered 1, 2, 3, 4, 5 and 6 are rolled, simultaneously. the probability that D4 shows a number appearing on one of D1, D2, and D3 is

  • Maths-Probability-44297.png
  • 2)
    Maths-Probability-44298.png

  • Maths-Probability-44299.png

  • Maths-Probability-44300.png
Probability of product of a perfect square when 2 dice are thrown together, is
  • 2/9
  • 1/9
  • 5/18
  • None of these
A card is drawn from a well shuffled pack of playing cards. The probability that it is a heart of a king, is
  • 1/52
  • 15/52
  • 18/52
  • 19/52
The probability that a leap year will have only 52 Sunday, is
  • 4/7
  • 5/7
  • 6/7
  • 1/7
A bag has four pair of balls of four distinct colours. If four balls are picked at random (without replacement), the probability that there is atleast one pair among them have the same colour is
  • 1/7!
  • 8/35
  • 19/35
  • 27/35
Let ω be a complex cube root of unity with ω ≠ 1. A fair die is thrown three times. If r1, r2 and r3 are the numbers obtained on the die, then the probability that
Maths-Probability-44302.png
  • 1/18
  • 1/9
  • 2/9
  • 1/36
Four numbers are chosen at random (without replacement) from the set {l, 2, 3, ... , 20}.
Statement I The probability that the chosen numbers when arranged in some order will form an AP is 1/85.
Statement II If the four chosen numbers form an AP, then the set of all possible values of common difference is {± 1, ± 2, ± 3, ± 4, ± 5}.
  • Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement 1
  • Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I
  • Statement I is correct, Statement II is incorrect
  • Statement I is incorrect, Statement II is correct
If birth to male child and birth to female child are equal probable, then what is the probability that atleast one of the three children born to a couple is male?
  • 4/5
  • 7/8
  • 8/7
  • 1/7
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is
  • 1/3
  • 2/7
  • 1/21
  • 2/23
A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly chosen time, the probability that the
  • 1/3
  • 1/4
  • 4/12
  • 7/12
  • 3/4
Three numbers are chosen at random from 1 to 20. The probability that they are consecutive, is
  • 1/190
  • 1/120
  • 3/190
  • 5/190
In a college, 25% boys and 10% girls offer mathematics. There are 60% girls in the college. If a Mathematics student is chosen at random, then the probability that the student is a girl, will be
  • 1/6
  • 3/8
  • 5/8
  • 5/6
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is
  • 5/12
  • 7/18
  • 13/36
  • 11/36
In an assembly of 4 persons the probability that atleast 2 of them have the same birthday, is
  • 0.293
  • 0.24
  • 0.0001
  • 0.016
Probability of all 3-digit numbers having all the digits same is
  • 1/100
  • 3/100
  • 7/100
  • None of these
Probability of getting positive integral roots of the equation x2 - n = 0 for the integer n, 1 ≤ n ≤ 40 is
  • 1/5
  • 1/10
  • 3/20
  • 1/20
A purse contains 4 copper and 3 silver coins. Another purse contains 6 copper and 2 silver coins. A coin is taken out from any purse, the probability that it is a silver coin, is
  • 37/56
  • 19/56
  • 4/7
  • 2/3
Twelve tickets are numbered from 1 to 12. One ticket is drawn at random, then the probability of the number to be divisible by 2 or 3 is
  • 2/3
  • 7/12
  • 5/6
  • 3/4
Let A = {1, 3, 5,7, 9} and B = {2, 4, 6, 8}. If in a Cartesian product A × B ,(a , b) is chosen at random, then the probability of a + h = 9 is
  • 1/4
  • 1/5
  • 1
  • 0
The probability that number selected at random from the numbers 1, 2, 3, 4, 5, 6, 7, 8, ... , 100 is a prime, is
  • 0.4
  • 0.25
  • 0.45
  • 0.43
Seven balls are drawn simultaneously from a bag containing 5 white and 6 green balls. The probability of drawing 3 white and 4 green balls is

  • Maths-Probability-44310.png
  • 2)
    Maths-Probability-44311.png

  • Maths-Probability-44312.png

  • Maths-Probability-44313.png
The probability that the same number appear on throwing three dice simultaneously is
  • 1/36
  • 5/36
  • 1/6
  • 4/13
A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from the box without replacement, the probability that they are alternatively either {odd, even odd} or {even, odd, even} is
  • 5/17
  • 4/17
  • 5/16
  • 5/18
Out of 15 persons 10 can speak Hindi and 8 can speak English, If two persons are chosen at random, then the probability that one person speaks Hindi only and the other speaks both Hindi and English is
  • 3/5
  • 7/12
  • 1/5
  • 2/5
  • 2/3
Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
  • 14/29
  • 20/29
  • 1/2
  • None of these
5 boys and 5 girls are sitting in a row randomly. The probability that boys and girls sit alternatively is
  • 5/126
  • 1/42
  • 4/126
  • 1/126
Four numbers are chosen at random from {1, 2, 3, ..., 40}. The probability that they are not consecutive, is

  • Maths-Probability-44315.png
  • 2)
    Maths-Probability-44316.png

  • Maths-Probability-44317.png

  • Maths-Probability-44318.png
A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colours, is
  • 1/15
  • 2/5
  • 4/15
  • 7/15
The probability of forming a three-digit numbers with the same digits, when three-digit numbers are formed out of the digits 0, 2, 4, 6, 8, is
  • 1/16
  • 1/12
  • 1/645
  • 1/25
There are 12 white and 12 red balls in a bag. Balls are drawn one by one with replacement from the bag. The probability that 7th drawn ball is 4th white, is
  • 1/4
  • 1/8
  • 1/2
  • 1/3
For a party 8 guests are invited by a husband and his wife. They sit for a dinner around a round table. The probability that the husband and his wife sit together is
  • 2/7
  • 2/9
  • 1/9
  • 4/9
In the random experiment of tossing two unbiased dice, let E be the event of getting the sum 8 and F be the event of getting even numbers on both the dice. Then,
I. P(E) = 7/36
II . P(F) = 1/3
Which of the following is correct statement ?
  • Both I and II are correct
  • Neither I nor II is correct
  • I is correct, II is incorrect
  • I is incorrect, II is correct
If a number n is chosen at random from the set {11, 12, 13, ..., 30}. Then, the probability that n is neither divisible by 3 nor divisible by 5, is
  • 7/20
  • 9/20
  • 11/20
  • 13/20
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Maths Quiz Questions and Answers