MEDIUM
JEE Main
IMPORTANT
Earn 100
If four vertices of a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is
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Important Questions on Probability
HARD
JEE Main
IMPORTANT
Six fair dices are thrown independently. The probability that there are exactly two different pairs (a pair is an ordered combination like ) is
HARD
JEE Main
IMPORTANT
If the letters of the word are arranged arbitrarily, then the probability that comes before , before , before and before is
HARD
JEE Main
IMPORTANT
Two squares of are chosen at random on a chessboard. What is the probability that they have a side in common?
HARD
JEE Main
IMPORTANT
In a game of chance, a player throws a pair of dice and scores points equal to the absolute value of the difference between the numbers on the two dice. The winner is the person who scores exactly five points more than his opponent. If two players are playing this game only one time, then the probability that neither of them wins is equal to
HARD
JEE Main
IMPORTANT
If and are randomly chosen from the set , then the probability that the expression has positive values for all real values of is
HARD
JEE Main
IMPORTANT
A word of at least letters is made at random from vowels and consonants, all the letters being different. The probability that no consonant falls between any two vowels in the word is
HARD
JEE Main
IMPORTANT
Matrices of order are formed by using the elements of the set then probability that matrix is either Symmetric or Skew Symmetric, is
HARD
JEE Main
IMPORTANT
A box contains tickets numbered from to . Two tickets are drawn one by one without replacement. The probability that the difference between the first drawn ticket number and the second is not less than is
