JEE Main Mathematics: Probability Practice Questions

8 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$A bag contains 5 red and 4 blue balls. Two balls are drawn at random one after another without replacement. What is the probability that the second ball is blue$
Medium
Q2.
$A box contains 10 bulbs, of which 3 are defective. If 3 bulbs are selected at random, what is the probability that exactly one bulb is defective?$
Medium
Q3.
$A coin is biased such that the head is three times as likely to occur as a tail. If the coin is tossed twice, what is the probability of getting at least one he$
Medium
Q4.
$If A and B are two events such that P(A) = 0.4, P(B) = 0.3, and P(A union B) = 0.6, find P(B given A complement).$
Medium
Q5.
$Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the faces is at least 10?$
Medium
Q6.
$Three players A, B, and C take turns in throwing a die. The first one to throw a six wins. If A starts, what is the probability that C wins?$
Hard
Q7.
$A random variable X follows a binomial distribution B(n, p). If E(X) = 6 and Var(X) = 4.2, find the value of n.$
Hard
Q8.
$T w o n u mb er s a r ese l ec t e d a t r an d o m f r o m t h ese t 1, 2, ..., 100 . W ha t i s t h e p r o babi l i t y t ha tt h e i r s u mi s d i v i s ib l e b y 3 ?$
Hard

Track your progress on Probability

Sign up free to attempt these questions, score yourself, and see which topics need work.

Start Practising Free →

Probability — JEE Main Mathematics Practice Questions with Solutions | SolveGini