JEE Advanced

AI Gen: Probability Advanced question bank (Mathematics)

Practice 8 free JEE Advanced Mathematics - AI Gen: Probability Advanced questions with answers and step-by-step solutions.

Start free Book a demo
All Easy
Q1.

An urn contains 4 white and 6 black balls. Three balls are drawn at random one by one without replacement. If the probability that the third drawn ball is white, given that the first drawn ball is black, is p, then the value of 5p is:

Topic: Probability Advanced | Source: AI Generated (JEE Advanced)

(A)
2
(B)
3
(C)
4
(D)
5
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Q2.

Let X and Y be two independent random variables taking values in 0, 1, 2 such that P(X=i) = P(Y=i) = 1/3 for each i. The probability that |X - Y| = 1 is:

Topic: Probability Advanced | Source: AI Generated (JEE Advanced)

(A)
2/9
(B)
4/9
(C)
5/9
(D)
1/3
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Protected Questions

Unlock All 8 Questions in AI Gen: Probability Advanced

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign in to unlock Create free account

Sign up free to access all 8 questions

Unlock every AI Gen: Probability Advanced question, generate papers, and practice at your own pace.

Start free