List of top Mathematics Questions on Probability and Uniform Distribution

A company is migrating its database, and two software engineers, Ishaan and Kavya, take turns running a data-sync script that has a constant success rate of \(\dfrac38\) per attempt. If Ishaan initiates the first attempt and they persist until the migration is successful, what is the probability that Kavya is the one who initiates the successful sync?
In a shelf there are three mathematics and two physics books. A student takes a book randomly. If he randomly takes, successively for three time by replacing the book already taken every time, then the mean of the number of mathematics books which is treated as random variable is
If three dice are thrown, then the mean of the sum of the numbers appearing on them is
A student studies for (X) number of hours during a randomly selected school day. The probability that (X) can take the values, has the following form, where (k) is some constant.
(P(X = x) = 0.2, & if x = 0
kx, & if x = 1 or 2
k(6 - x), & if x = 3 or 4
0, & otherwise )
The probability that the student studies for at most two hours is
A student studies for (X) number of hours during a randomly selected school day. The probability that (X) can take the values, has the following form, where (k) is some constant.
(P(X = x) = 0.2, & if x = 0
kx, & if x = 1 or 2
k(6 - x), & if x = 3 or 4
0, & otherwise )
The probability that the student studies for at most two hours is
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: