Question Bank  Probability

gaurav_sharma last edited by zabeer
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Number of Questions  30
Topic  Probability
Answer Key Available  Yes
Source  Genius Tutorial Preparation Forum

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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

gaurav_sharma last edited by zabeer
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?

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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

gaurav_sharma last edited by
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%

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q7) Two cards are drawn from a pack of wellshuffled cards. Find the probability that one is a CLUB and other is an ACE.

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
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 ?

gaurav_sharma last edited by
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 ?

gaurav_sharma last edited by gaurav_sharma
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 ?

gaurav_sharma last edited by gaurav_sharma
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

gaurav_sharma last edited by
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?

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q18) All possible fourdigit 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?

gaurav_sharma last edited by
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?