HARD
JEE Main
IMPORTANT
Earn 100
and are events of an experiment, such that and . If , then
50% studentsanswered this correctly
Important Questions on Probability
HARD
JEE Main
IMPORTANT
If and are two events such that , then is equal to
EASY
JEE Main
IMPORTANT
A number is selected at random from the first twenty-five natural numbers. If it is a composite number, then it is divided by . But if it is not a composite number, it is divided by . The probability that there will be no remainder in the division is
MEDIUM
JEE Main
IMPORTANT
If two events and such that and , then is
HARD
JEE Main
IMPORTANT
In a hurdle race, a runner has probability of jumping over a specific hurdle. Given that in trials, the runner succeeded times, the conditional probability that the runner had succeeded in the first trial, is
MEDIUM
JEE Main
IMPORTANT
A box contains white and black balls. Another box contains white and black balls. A die is thrown. If it exhibits a number , the ball is drawn from the first box,otherwise, a ball is drawn from the second box. A ball drawn is found to be black. The probability that it has been drawn from the second box is
MEDIUM
JEE Main
IMPORTANT
The probabilities of solving a problem correctly by and are and , respectively. Given that they obtain the same answer after solving a problem and the probability of a common mistake by them is , then the probability that their solution is correct is (assuming that if they commit different mistake, then their answers will differ)
HARD
JEE Main
IMPORTANT
The probability of event is . The probability of event , given that event occurs is . The probability of event , given that event occurs is . The probability that neither event occurs is
HARD
JEE Main
IMPORTANT
An urn contains three white, six red and four black balls. Two balls are selected at random. What is the probability that one ball is red and the other is white, given that they are of different colour?
