List of top Mathematics Questions on Probability and Uniform Distribution asked in KEAM

An urn contains 4 black, 5 white and 6 red balls. One ball is drawn at random. The probability that it is not black is

Cards marked with numbers 2 to 105 are placed in a box and mixed. One card is chosen at random. The probability that the number on the card is less than 15 is

A single letter is selected from the word TRICKS. The probability that it is either T or R is:

From 4 red balls, 2 white balls and 4 black balls, four balls are selected. The probability of getting 2 red balls is:

In a class, 60% of the students know lesson I, 40% know lesson II and 20% know lesson I and lesson II. A student is selected at random. The probability that the student does not know lesson I and lesson II is:

Two distinct numbers \( x \) and \( y \) are chosen from 1, 2, 3, 4, 5. The probability that the arithmetic mean of \( x \) and \( y \) is an integer is:

Let S be the set of all \( 2 \times 2 \) symmetric matrices whose entries are either zero or one. A matrix X is chosen from S. The probability that the determinant of X is not zero is: