Question Bank - Probability


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Number of Questions - 30
    Topic - Probability
    Answer Key Available - Yes
    Source - Genius Tutorial Preparation Forum


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q1) A box contains 5 green, 4 yellow and 3 white marbles. Three marbles are drawn at random. What is the probability that they are not of the same color?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q2) Two couples and a single person are to be seated on 5 chairs such that no couple is seated next to each other. What is the probability of the above??
    a) 1/3
    b) 1/2
    c) 2/5
    d) 1/4


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q3) Four cards are drawn from a standard deck of playing cards without replacing a card after it is drawn. If the first 3 cards are hearts, what is the probability that the next card drawn is not a heart?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q4) A college is composed of 70% men and 30% women. It is known that 40% of the men and 60% of the women smoke. What is the probability that a student seen smoking is a man?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q5) A student arrives to bus stop between 7.55 and 8.05 every morning. And the bus leaves bus stop between 8.00 and 8.10 what is the probability that the student catches the bus


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q6) If n is an integer from 1 to 96, what is the probability for n*(n+1)*(n+2) being divisible by 8?
    a) 25%
    b) 50%
    c) 62.5%
    d) 72.5%
    e) 75%


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q7) Two cards are drawn from a pack of well-shuffled cards. Find the probability that one is a CLUB and other is an ACE.


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q8) If 4 digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7. What is the probability of forming a number divisible by 5 when the repetition of digits is not allowed?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q9) I have 6 coins of different denominations in my pocket. If i take them out of my pocket one after another, what is the probability of taking out the 6 coins in descending order of their denominations?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q10) In a function if 20 speakers give their speech, what is the probability that aspeaker A will speak before speaker B?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q11) one point inside a square of side 2 cm is taken randomly. whats the probability of it being away from all corners by atleast 1 cm?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q12) On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q13) p and q are chosen from the set {1,2,3,4,5,6,7,8,9,10} with replacement. What is the probability that the roots of x^2 + px + q = 0 are real ?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q14) m and n are two positive integers lying from 1 to 100. What is the probability that 3^m + 7^n has the last digit 8 ?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q15) What is the probability that a rectangle picked at random in a 6×6 grid is a square ?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q16) If four numbers are multiplied together, then find the probability that the product is divisible by 5 or 10 is?
    a) 169/625
    b) 369/625
    c) 169/1626
    d) None Of These


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q17) Two numbers are selected at random from the integers 1 through 9.If the sum is even,find the probability that both numbers are odd?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q18) All possible four-digit numbers are formed by using the digits 3, 4, 5 and 6, without repetition of the digits. If a number chosen randomly out of the formed numbers, what is the probability that the chosen number is an even multiple of three?


  • Director, Genius Tutorials, Karnal ( Haryana ) & Delhi | MSc (Mathematics)


    Q19) If two squares are choosen from a chess board with 64 squares; what is the probability that they share a common side?


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