HARD
JEE Main
IMPORTANT
Earn 100
Let two fair six-faced dice and be thrown simultaneously. If is the event that die shows up four, is the event that die shows up two and is the event that the sum of numbers on both dice is odd, then which of the following statements is not true?
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Important Questions on Probability
HARD
JEE Main
IMPORTANT
An experiment succeeds twice as often as it fails. The probability of at least successes in the six trials of this experiment is
HARD
JEE Main
IMPORTANT
Let be a set containing elements and be its power set. If and are picked up at random from , with replacement, then the probability that and have equal number of elements is:
HARD
JEE Main
IMPORTANT
If identical balls are to be placed in identical boxes, then the probability that one of the boxes contains exactly balls is
HARD
JEE Main
IMPORTANT
If the mean and the variance of a binomial variate are respectively, then the probability that takes a value greater than or equal to one is:
HARD
JEE Main
IMPORTANT
If the lengths of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum area given that it is an isosceles triangle, is:
HARD
JEE Main
IMPORTANT
Let and be any two events with positive probabilities
Statement I:
Statement II:
HARD
JEE Main
IMPORTANT
If and are two events such that , then the incorrect statement amongst the following statements is :
HARD
JEE Main
IMPORTANT
Let and be two events such that and where stands for the complement of the event . Then the events and are
