EASY
JEE Advanced
IMPORTANT
Earn 100
A sample space consists of three mutually independent and equally likely events. The probability of happening of each one of them is equal to
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Important Questions on Advanced Probability
HARD
JEE Advanced
IMPORTANT
The mean and variance of a binomial variate are and , respectively. The probability that takes a value greater than , is
HARD
JEE Advanced
IMPORTANT
An ellipse of eccentricity is inscribed in a circle and a point within the circle is chosen at random. The probability that this point lies outside the ellipse, is
EASY
JEE Advanced
IMPORTANT
A random variable has the distribution
Then, variance of the distribution is
MEDIUM
JEE Advanced
IMPORTANT
A box contains white and red balls. If we draw one ball and without replacing the first ball, then the probability of drawing red ball in the second draw, is
EASY
JEE Advanced
IMPORTANT
The mean and variance of a binomial distribution are and , respectively, then value of is
EASY
JEE Advanced
IMPORTANT
The mean and variance of a binomial distributions are and , then is
EASY
JEE Advanced
IMPORTANT
The probability that a value manufactured by a company will be defective, is . If such values are manufactured, then the probability of exactly two defective is
MEDIUM
JEE Advanced
IMPORTANT
The Binomial distribution with mean and variance is
